57197505366144 has 512 divisors, whose sum is σ = 198550801612800. Its totient is φ = 15981061017600.

The previous prime is 57197505366103. The next prime is 57197505366167. The reversal of 57197505366144 is 44166350579175.

57197505366144 is a `hidden beast` number, since 5 + 7 + 1 + 9 + 7 + 5 + 0 + 5 + 3 + 6 + 614 + 4 = 666.

It is a super-2 number, since 2×57197505366144² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436320129 + ... + 436451199.

It is an arithmetic number, because the mean of its divisors is an integer number (387794534400).

Almost surely, 2^{57197505366144} is an apocalyptic number.

57197505366144 is a gapful number since it is divisible by the number (54) 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 57197505366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99275400806400).

57197505366144 is an abundant number, since it is smaller than the sum of its proper divisors (141353296246656).

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

57197505366144 is a wasteful number, since it uses less digits than its factorization.

57197505366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132001 (or 131983 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 57197505366144 in words is "fifty-seven trillion, one hundred ninety-seven billion, five hundred five million, three hundred sixty-six thousand, one hundred forty-four".