57299613840 has 1440 divisors, whose sum is σ = 255407652864. Its totient is φ = 11675197440.

The previous prime is 57299613829. The next prime is 57299613851. The reversal of 57299613840 is 4831699275.

57299613840 is a `hidden beast` number, since 572 + 9 + 9 + 61 + 3 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57299613829) and next prime (57299613851).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 1219140697 + ... + 1219140743.

It is a 1-persistent number, because it is pandigital, but 2⋅57299613840 = 114599227680 is not.

Almost surely, 2^57299613840 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 57299613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127703826432).

57299613840 is an abundant number, since it is smaller than the sum of its proper divisors (198108039024).

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

57299613840 is a wasteful number, since it uses less digits than its factorization.

57299613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 57299613840 in words is "fifty-seven billion, two hundred ninety-nine million, six hundred thirteen thousand, eight hundred forty".