57136268851200 has 6912 divisors, whose sum is σ = 288870111129600. Its totient is φ = 10835538739200.

The previous prime is 57136268851177. The next prime is 57136268851201. The reversal of 57136268851200 is 215886263175.

57136268851200 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 62 + 68 + 8 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57136268851201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 782688614364 + ... + 782688614436.

It is an arithmetic number, because the mean of its divisors is an integer number (41792550800).

Almost surely, 2^{57136268851200} is an apocalyptic number.

57136268851200 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 57136268851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435055564800).

57136268851200 is an abundant number, since it is smaller than the sum of its proper divisors (231733842278400).

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

57136268851200 is a wasteful number, since it uses less digits than its factorization.

57136268851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 57136268851200 in words is "fifty-seven trillion, one hundred thirty-six billion, two hundred sixty-eight million, eight hundred fifty-one thousand, two hundred".