102557664000 has 1296 divisors, whose sum is σ = 424513209120. Its totient is φ = 24634368000.

The previous prime is 102557663981. The next prime is 102557664007. The reversal of 102557664000 is 466755201.

It is a happy number.

102557664000 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 7 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102557664007) 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, 940895946 + ... + 940896054.

Almost surely, 2^102557664000 is an apocalyptic number.

102557664000 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 102557664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212256604560).

102557664000 is an abundant number, since it is smaller than the sum of its proper divisors (321955545120).

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

102557664000 is an equidigital number, since it uses as much as digits as its factorization.

102557664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 102557664000 in words is "one hundred two billion, five hundred fifty-seven million, six hundred sixty-four thousand".