57720686400 has 672 divisors, whose sum is σ = 229643635200. Its totient is φ = 14017536000.

The previous prime is 57720686389. The next prime is 57720686411. The reversal of 57720686400 is 468602775.

It is an interprime number because it is at equal distance from previous prime (57720686389) and next prime (57720686411).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44365750 + ... + 44367050.

It is an arithmetic number, because the mean of its divisors is an integer number (341731600).

Almost surely, 2^57720686400 is an apocalyptic number.

57720686400 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 57720686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114821817600).

57720686400 is an abundant number, since it is smaller than the sum of its proper divisors (171922948800).

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

57720686400 is a wasteful number, since it uses less digits than its factorization.

57720686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57720686400 in words is "fifty-seven billion, seven hundred twenty million, six hundred eighty-six thousand, four hundred".