102572252960320 has 336 divisors, whose sum is σ = 289369175906160. Its totient is φ = 34400785858560.

The previous prime is 102572252960273. The next prime is 102572252960363. The reversal of 102572252960320 is 23069252275201.

It can be written as a sum of positive squares in 8 ways, for example, as 14124848956416 + 88447404003904 = 3758304^2 + 9404648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600423076 + ... + 600593884.

It is an arithmetic number, because the mean of its divisors is an integer number (861217785435).

Almost surely, 2^{102572252960320} is an apocalyptic number.

102572252960320 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 102572252960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144684587953080).

102572252960320 is an abundant number, since it is smaller than the sum of its proper divisors (186796922945840).

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

102572252960320 is a wasteful number, since it uses less digits than its factorization.

102572252960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172054 (or 172033 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 102572252960320 in words is "one hundred two trillion, five hundred seventy-two billion, two hundred fifty-two million, nine hundred sixty thousand, three hundred twenty".