6157538503200 has 576 divisors, whose sum is σ = 25524303840000. Its totient is φ = 1403392573440.

The previous prime is 6157538503087. The next prime is 6157538503217. The reversal of 6157538503200 is 23058357516.

6157538503200 is a `hidden beast` number, since 6 + 1 + 575 + 3 + 8 + 50 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 52710456 + ... + 52827144.

It is an arithmetic number, because the mean of its divisors is an integer number (44313027500).

Almost surely, 2^{6157538503200} is an apocalyptic number.

6157538503200 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 6157538503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762151920000).

6157538503200 is an abundant number, since it is smaller than the sum of its proper divisors (19366765336800).

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

6157538503200 is a wasteful number, since it uses less digits than its factorization.

6157538503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117074 (or 117055 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6157538503200 in words is "six trillion, one hundred fifty-seven billion, five hundred thirty-eight million, five hundred three thousand, two hundred".