57055361126400 has 4368 divisors, whose sum is σ = 269311716530304. Its totient is φ = 11661103595520.

The previous prime is 57055361126359. The next prime is 57055361126429. The reversal of 57055361126400 is 462116355075.

57055361126400 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 5 + 3 + 611 + 26 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

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 335 ways as a sum of consecutive naturals, for example, 251345203087 + ... + 251345203313.

Almost surely, 2^{57055361126400} is an apocalyptic number.

57055361126400 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 57055361126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134655858265152).

57055361126400 is an abundant number, since it is smaller than the sum of its proper divisors (212256355403904).

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

57055361126400 is a wasteful number, since it uses less digits than its factorization.

57055361126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 294 counting only the distinct ones).

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

The spelling of 57055361126400 in words is "fifty-seven trillion, fifty-five billion, three hundred sixty-one million, one hundred twenty-six thousand, four hundred".