102416263447680 has 1536 divisors, whose sum is σ = 440791932672000. Its totient is φ = 21335245848576.

The previous prime is 102416263447657. The next prime is 102416263447697. The reversal of 102416263447680 is 86744362614201.

102416263447680 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 62 + 6 + 34 + 476 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48469598304 + ... + 48469600416.

It is an arithmetic number, because the mean of its divisors is an integer number (286973914500).

Almost surely, 2^{102416263447680} is an apocalyptic number.

102416263447680 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 102416263447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220395966336000).

102416263447680 is an abundant number, since it is smaller than the sum of its proper divisors (338375669224320).

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

102416263447680 is a wasteful number, since it uses less digits than its factorization.

102416263447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 102416263447680 in words is "one hundred two trillion, four hundred sixteen billion, two hundred sixty-three million, four hundred forty-seven thousand, six hundred eighty".