57040880400 has 1800 divisors, whose sum is σ = 262999714560. Its totient is φ = 11757312000.

The previous prime is 57040880399. The next prime is 57040880411. The reversal of 57040880400 is 408804075.

57040880400 is a `hidden beast` number, since 570 + 4 + 0 + 8 + 80 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 935096370 + ... + 935096430.

Almost surely, 2^57040880400 is an apocalyptic number.

57040880400 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 57040880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131499857280).

57040880400 is an abundant number, since it is smaller than the sum of its proper divisors (205958834160).

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

57040880400 is a wasteful number, since it uses less digits than its factorization.

57040880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 57040880400 in words is "fifty-seven billion, forty million, eight hundred eighty thousand, four hundred".