6157048312800 has 2592 divisors, whose sum is σ = 28768053726720. Its totient is φ = 1266160896000.

The previous prime is 6157048312741. The next prime is 6157048312819. The reversal of 6157048312800 is 82138407516.

6157048312800 is a `hidden beast` number, since 6 + 1 + 570 + 48 + 31 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 16776698217 + ... + 16776698583.

It is an arithmetic number, because the mean of its divisors is an integer number (11098786160).

Almost surely, 2^{6157048312800} is an apocalyptic number.

6157048312800 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 6157048312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384026863360).

6157048312800 is an abundant number, since it is smaller than the sum of its proper divisors (22611005413920).

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

6157048312800 is a wasteful number, since it uses less digits than its factorization.

6157048312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 6157048312800 in words is "six trillion, one hundred fifty-seven billion, forty-eight million, three hundred twelve thousand, eight hundred".