102388778666496 has 1280 divisors, whose sum is σ = 366078569472000. Its totient is φ = 27639541923840.

The previous prime is 102388778666453. The next prime is 102388778666557. The reversal of 102388778666496 is 694666877883201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27695096520 + ... + 27695100216.

It is an arithmetic number, because the mean of its divisors is an integer number (285998882400).

Almost surely, 2^{102388778666496} is an apocalyptic number.

102388778666496 is a gapful number since it is divisible by the number (16) 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 102388778666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183039284736000).

102388778666496 is an abundant number, since it is smaller than the sum of its proper divisors (263689790805504).

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

102388778666496 is a wasteful number, since it uses less digits than its factorization.

102388778666496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 102388778666496 in words is "one hundred two trillion, three hundred eighty-eight billion, seven hundred seventy-eight million, six hundred sixty-six thousand, four hundred ninety-six".