108716572016640 has 2400 divisors, whose sum is σ = 465857914658400. Its totient is φ = 24271606775808.

The previous prime is 108716572016627. The next prime is 108716572016687. The reversal of 108716572016640 is 46610275617801.

108716572016640 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 6 + 572 + 0 + 1 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2528292372459 + ... + 2528292372501.

It is an arithmetic number, because the mean of its divisors is an integer number (194107464441).

Almost surely, 2^{108716572016640} is an apocalyptic number.

108716572016640 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 108716572016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232928957329200).

108716572016640 is an abundant number, since it is smaller than the sum of its proper divisors (357141342641760).

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

108716572016640 is an frugal number, since it uses more digits than its factorization.

108716572016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 108716572016640 in words is "one hundred eight trillion, seven hundred sixteen billion, five hundred seventy-two million, sixteen thousand, six hundred forty".