8161715315600 has 240 divisors, whose sum is σ = 24593391922176. Its totient is φ = 2528676672000.

The previous prime is 8161715315573. The next prime is 8161715315653. The reversal of 8161715315600 is 65135171618.

It is a super-2 number, since 2×8161715315600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350215 + ... + 5936985.

Almost surely, 2^{8161715315600} is an apocalyptic number.

8161715315600 is a gapful number since it is divisible by the number (80) 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 8161715315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296695961088).

8161715315600 is an abundant number, since it is smaller than the sum of its proper divisors (16431676606576).

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

8161715315600 is a wasteful number, since it uses less digits than its factorization.

8161715315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586974 (or 1586963 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 44.

The spelling of 8161715315600 in words is "eight trillion, one hundred sixty-one billion, seven hundred fifteen million, three hundred fifteen thousand, six hundred".