102497711878800 has 720 divisors, whose sum is σ = 433208787148800. Its totient is φ = 21932635253760.

The previous prime is 102497711878799. The next prime is 102497711878801. The reversal of 102497711878800 is 8878117794201.

102497711878800 is a `hidden beast` number, since 1 + 0 + 2 + 497 + 71 + 1 + 8 + 78 + 8 + 0 + 0 = 666.

102497711878800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102497711878799) and next prime (102497711878801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102497711878801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25359901 + ... + 29122499.

It is an arithmetic number, because the mean of its divisors is an integer number (601678871040).

Almost surely, 2^{102497711878800} is an apocalyptic number.

102497711878800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102497711878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216604393574400).

102497711878800 is an abundant number, since it is smaller than the sum of its proper divisors (330711075270000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102497711878800 is a wasteful number, since it uses less digits than its factorization.

102497711878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762700 (or 3762686 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 63.

The spelling of 102497711878800 in words is "one hundred two trillion, four hundred ninety-seven billion, seven hundred eleven million, eight hundred seventy-eight thousand, eight hundred".