8152842913920 has 256 divisors, whose sum is σ = 30130073107200. Its totient is φ = 2079565627392.

The previous prime is 8152842913889. The next prime is 8152842913933. The reversal of 8152842913920 is 293192482518.

8152842913920 is a `hidden beast` number, since 8 + 1 + 528 + 4 + 2 + 91 + 3 + 9 + 20 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9859257 + ... + 10654136.

It is an arithmetic number, because the mean of its divisors is an integer number (117695598075).

Almost surely, 2^{8152842913920} is an apocalyptic number.

8152842913920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8152842913920 is an abundant number, since it is smaller than the sum of its proper divisors (21977230193280).

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

8152842913920 is a wasteful number, since it uses less digits than its factorization.

8152842913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513444 (or 20513426 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 8152842913920 in words is "eight trillion, one hundred fifty-two billion, eight hundred forty-two million, nine hundred thirteen thousand, nine hundred twenty".