102377197615680 has 896 divisors, whose sum is σ = 433500171148800. Its totient is φ = 22469824217088.

The previous prime is 102377197615673. The next prime is 102377197615723. The reversal of 102377197615680 is 86516791773201.

102377197615680 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 7 + 7 + 1 + 9 + 7 + 61 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34868404 + ... + 37690316.

It is an arithmetic number, because the mean of its divisors is an integer number (483817155300).

Almost surely, 2^{102377197615680} is an apocalyptic number.

102377197615680 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 102377197615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216750085574400).

102377197615680 is an abundant number, since it is smaller than the sum of its proper divisors (331122973533120).

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

102377197615680 is a wasteful number, since it uses less digits than its factorization.

102377197615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821988 (or 2821972 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 102377197615680 in words is "one hundred two trillion, three hundred seventy-seven billion, one hundred ninety-seven million, six hundred fifteen thousand, six hundred eighty".