57400773120 has 200 divisors, whose sum is σ = 205592174964. Its totient is φ = 15306817536.

The previous prime is 57400773109. The next prime is 57400773127. The reversal of 57400773120 is 2137700475.

57400773120 is a `hidden beast` number, since 574 + 0 + 0 + 7 + 73 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57346838784 + 53934336 = 239472^2 + 7344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (57400773127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68952 + ... + 345768.

Almost surely, 2^57400773120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57400773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102796087482).

57400773120 is an abundant number, since it is smaller than the sum of its proper divisors (148191401844).

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

57400773120 is an equidigital number, since it uses as much as digits as its factorization.

57400773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276852 (or 276827 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 57400773120 in words is "fifty-seven billion, four hundred million, seven hundred seventy-three thousand, one hundred twenty".