57366429120 has 2016 divisors, whose sum is σ = 280953813504. Its totient is φ = 10839121920.

The previous prime is 57366429119. The next prime is 57366429167. The reversal of 57366429120 is 2192466375.

57366429120 is a `hidden beast` number, since 573 + 6 + 64 + 2 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 856215327 + ... + 856215393.

Almost surely, 2^57366429120 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 57366429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140476906752).

57366429120 is an abundant number, since it is smaller than the sum of its proper divisors (223587384384).

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

57366429120 is a wasteful number, since it uses less digits than its factorization.

57366429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 5736 and 6429120, that added together give a cube (6434856 = 186³).

The spelling of 57366429120 in words is "fifty-seven billion, three hundred sixty-six million, four hundred twenty-nine thousand, one hundred twenty".