57264820905600 has 9216 divisors, whose sum is σ = 306461242368000. Its totient is φ = 10384057958400.

The previous prime is 57264820905599. The next prime is 57264820905637. The reversal of 57264820905600 is 650902846275.

57264820905600 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 4 + 8 + 20 + 9 + 0 + 5 + 600 = 666.

It is a super-2 number, since 2×57264820905600² (a number of 28 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 1218400444777 + ... + 1218400444823.

It is an arithmetic number, because the mean of its divisors is an integer number (33253173000).

Almost surely, 2^{57264820905600} is an apocalyptic number.

57264820905600 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 57264820905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153230621184000).

57264820905600 is an abundant number, since it is smaller than the sum of its proper divisors (249196421462400).

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

57264820905600 is a wasteful number, since it uses less digits than its factorization.

57264820905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57264820905600 in words is "fifty-seven trillion, two hundred sixty-four billion, eight hundred twenty million, nine hundred five thousand, six hundred".