6157319968800 has 3888 divisors, whose sum is σ = 30902168134656. Its totient is φ = 1133927424000.

The previous prime is 6157319968799. The next prime is 6157319968867. The reversal of 6157319968800 is 88699137516.

6157319968800 is a `hidden beast` number, since 6 + 157 + 319 + 96 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 48482834337 + ... + 48482834463.

It is an arithmetic number, because the mean of its divisors is an integer number (7948088512).

Almost surely, 2^{6157319968800} is an apocalyptic number.

6157319968800 is a gapful number since it is divisible by the number (60) 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 6157319968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451084067328).

6157319968800 is an abundant number, since it is smaller than the sum of its proper divisors (24744848165856).

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

6157319968800 is a wasteful number, since it uses less digits than its factorization.

6157319968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 6157319968800 in words is "six trillion, one hundred fifty-seven billion, three hundred nineteen million, nine hundred sixty-eight thousand, eight hundred".