102889961717760 has 4096 divisors, whose sum is σ = 475445624832000. Its totient is φ = 20804234379264.

The previous prime is 102889961717737. The next prime is 102889961717797. The reversal of 102889961717760 is 67717169988201.

102889961717760 is a `hidden beast` number, since 10 + 288 + 99 + 61 + 71 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 810157178817 + ... + 810157178943.

It is an arithmetic number, because the mean of its divisors is an integer number (116075592000).

Almost surely, 2^{102889961717760} is an apocalyptic number.

102889961717760 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 102889961717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237722812416000).

102889961717760 is an abundant number, since it is smaller than the sum of its proper divisors (372555663114240).

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

102889961717760 is an frugal number, since it uses more digits than its factorization.

102889961717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 72.

The spelling of 102889961717760 in words is "one hundred two trillion, eight hundred eighty-nine billion, nine hundred sixty-one million, seven hundred seventeen thousand, seven hundred sixty".