8151959331360 has 384 divisors, whose sum is σ = 30858539362560. Its totient is φ = 1998020763648.

The previous prime is 8151959331359. The next prime is 8151959331379. The reversal of 8151959331360 is 631339591518.

8151959331360 is a `hidden beast` number, since 8 + 1 + 5 + 19 + 593 + 3 + 1 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8151959331297 and 8151959331306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12773787 + ... + 13396773.

It is an arithmetic number, because the mean of its divisors is an integer number (80360779590).

Almost surely, 2^{8151959331360} is an apocalyptic number.

8151959331360 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 8151959331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429269681280).

8151959331360 is an abundant number, since it is smaller than the sum of its proper divisors (22706580031200).

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

8151959331360 is a wasteful number, since it uses less digits than its factorization.

8151959331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623257 (or 623243 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 8151959331360 in words is "eight trillion, one hundred fifty-one billion, nine hundred fifty-nine million, three hundred thirty-one thousand, three hundred sixty".