53957020723200 has 1728 divisors, whose sum is σ = 224224777445760. Its totient is φ = 12145655808000.

The previous prime is 53957020723187. The next prime is 53957020723247. The reversal of 53957020723200 is 232702075935.

53957020723200 is a `hidden beast` number, since 5 + 3 + 9 + 570 + 2 + 0 + 72 + 3 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×53957020723200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103564338940 + ... + 103564339460.

It is an arithmetic number, because the mean of its divisors is an integer number (129759709170).

Almost surely, 2^{53957020723200} is an apocalyptic number.

53957020723200 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 53957020723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112112388722880).

53957020723200 is an abundant number, since it is smaller than the sum of its proper divisors (170267756722560).

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

53957020723200 is a wasteful number, since it uses less digits than its factorization.

53957020723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 53957020723200 in words is "fifty-three trillion, nine hundred fifty-seven billion, twenty million, seven hundred twenty-three thousand, two hundred".