8157062305920 has 256 divisors, whose sum is σ = 28522803456000. Its totient is φ = 1966421422080.

The previous prime is 8157062305913. The next prime is 8157062305943. The reversal of 8157062305920 is 295032607518.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8157062305920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701641 + ... + 4859319.

It is an arithmetic number, because the mean of its divisors is an integer number (111417201000).

Almost surely, 2^{8157062305920} is an apocalyptic number.

8157062305920 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 8157062305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261401728000).

8157062305920 is an abundant number, since it is smaller than the sum of its proper divisors (20365741150080).

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

8157062305920 is a wasteful number, since it uses less digits than its factorization.

8157062305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157891 (or 2157879 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 8157062305920 in words is "eight trillion, one hundred fifty-seven billion, sixty-two million, three hundred five thousand, nine hundred twenty".