57034121472000 has 1152 divisors, whose sum is σ = 209244545546400. Its totient is φ = 14940241920000.

The previous prime is 57034121471989. The next prime is 57034121472131. The reversal of 57034121472000 is 27412143075.

57034121472000 is a `hidden beast` number, since 5 + 70 + 341 + 2 + 1 + 47 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8580493845504 + 48453627626496 = 2929248^2 + 6960864^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31880447106 + ... + 31880448894.

Almost surely, 2^{57034121472000} is an apocalyptic number.

57034121472000 is a gapful number since it is divisible by the number (50) 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 57034121472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104622272773200).

57034121472000 is an abundant number, since it is smaller than the sum of its proper divisors (152210424074400).

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

57034121472000 is a wasteful number, since it uses less digits than its factorization.

57034121472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 57034121472000 in words is "fifty-seven trillion, thirty-four billion, one hundred twenty-one million, four hundred seventy-two thousand".