102478970880 has 1088 divisors, whose sum is σ = 433352183040. Its totient is φ = 22932357120.

The previous prime is 102478970863. The next prime is 102478970899. The reversal of 102478970880 is 88079874201.

It is a happy number.

102478970880 is a `hidden beast` number, since 1 + 0 + 2 + 478 + 97 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7882997754 + ... + 7882997766.

Almost surely, 2^102478970880 is an apocalyptic number.

102478970880 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 102478970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216676091520).

102478970880 is an abundant number, since it is smaller than the sum of its proper divisors (330873212160).

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

102478970880 is an frugal number, since it uses more digits than its factorization.

102478970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 102478970880 in words is "one hundred two billion, four hundred seventy-eight million, nine hundred seventy thousand, eight hundred eighty".