102585420000 has 720 divisors, whose sum is σ = 435045053520. Its totient is φ = 23442048000.

The previous prime is 102585419987. The next prime is 102585420011. The reversal of 102585420000 is 24585201.

It is a happy number.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26458062 + ... + 26461938.

It is an arithmetic number, because the mean of its divisors is an integer number (604229241).

Almost surely, 2^102585420000 is an apocalyptic number.

102585420000 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 102585420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217522526760).

102585420000 is an abundant number, since it is smaller than the sum of its proper divisors (332459633520).

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

102585420000 is an equidigital number, since it uses as much as digits as its factorization.

102585420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 102585420000 in words is "one hundred two billion, five hundred eighty-five million, four hundred twenty thousand".