57249620620800 has 480 divisors, whose sum is σ = 203065801956864. Its totient is φ = 14166147072000.

The previous prime is 57249620620793. The next prime is 57249620620837. The reversal of 57249620620800 is 802602694275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×57249620620800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45731205 + ... + 46966395.

Almost surely, 2^{57249620620800} is an apocalyptic number.

57249620620800 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 57249620620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101532900978432).

57249620620800 is an abundant number, since it is smaller than the sum of its proper divisors (145816181336064).

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

57249620620800 is a wasteful number, since it uses less digits than its factorization.

57249620620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235310 (or 1235289 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 57249620620800 in words is "fifty-seven trillion, two hundred forty-nine billion, six hundred twenty million, six hundred twenty thousand, eight hundred".