102042537696000 has 1440 divisors, whose sum is σ = 423891903891456. Its totient is φ = 24162001920000.

The previous prime is 102042537695911. The next prime is 102042537696023. The reversal of 102042537696000 is 696735240201.

102042537696000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 2 + 5 + 37 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1225974385 + ... + 1226057615.

Almost surely, 2^{102042537696000} is an apocalyptic number.

102042537696000 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 102042537696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211945951945728).

102042537696000 is an abundant number, since it is smaller than the sum of its proper divisors (321849366195456).

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

102042537696000 is an equidigital number, since it uses as much as digits as its factorization.

102042537696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83328 (or 83295 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 102042537696000 in words is "one hundred two trillion, forty-two billion, five hundred thirty-seven million, six hundred ninety-six thousand".