57412135452672 has 2688 divisors, whose sum is σ = 235958727654720. Its totient is φ = 13765147361280.

The previous prime is 57412135452667. The next prime is 57412135452673. The reversal of 57412135452672 is 27625453121475.

57412135452672 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 2 + 1 + 3 + 545 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

Its product of digits (14112000) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (57412135452673) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 4416318111738 + ... + 4416318111750.

Almost surely, 2^{57412135452672} is an apocalyptic number.

57412135452672 is a gapful number since it is divisible by the number (52) 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 57412135452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979363827360).

57412135452672 is an abundant number, since it is smaller than the sum of its proper divisors (178546592202048).

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

57412135452672 is an frugal number, since it uses more digits than its factorization.

57412135452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 36 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 57412135452672 in words is "fifty-seven trillion, four hundred twelve billion, one hundred thirty-five million, four hundred fifty-two thousand, six hundred seventy-two".