6132257258400 has 4608 divisors, whose sum is σ = 30842825932800. Its totient is φ = 1138655232000.

The previous prime is 6132257258333. The next prime is 6132257258471. The reversal of 6132257258400 is 48527522316.

6132257258400 is a `hidden beast` number, since 6 + 1 + 3 + 22 + 572 + 58 + 4 + 0 + 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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 60715418350 + ... + 60715418450.

It is an arithmetic number, because the mean of its divisors is an integer number (6693321600).

Almost surely, 2^{6132257258400} is an apocalyptic number.

6132257258400 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 6132257258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15421412966400).

6132257258400 is an abundant number, since it is smaller than the sum of its proper divisors (24710568674400).

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

6132257258400 is a wasteful number, since it uses less digits than its factorization.

6132257258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 6132257258400 in words is "six trillion, one hundred thirty-two billion, two hundred fifty-seven million, two hundred fifty-eight thousand, four hundred".