57197027117776 has 960 divisors, whose sum is σ = 157996047605760. Its totient is φ = 19410986188800.

The previous prime is 57197027117687. The next prime is 57197027117779. The reversal of 57197027117776 is 67771172079175.

It is a super-2 number, since 2×57197027117776² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57197027117779) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122477573895 + ... + 122477574361.

It is an arithmetic number, because the mean of its divisors is an integer number (164579216256).

Almost surely, 2^{57197027117776} is an apocalyptic number.

57197027117776 is a gapful number since it is divisible by the number (56) 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 57197027117776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78998023802880).

57197027117776 is an abundant number, since it is smaller than the sum of its proper divisors (100799020487984).

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

57197027117776 is a wasteful number, since it uses less digits than its factorization.

57197027117776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 63530460, while the sum is 67.

The spelling of 57197027117776 in words is "fifty-seven trillion, one hundred ninety-seven billion, twenty-seven million, one hundred seventeen thousand, seven hundred seventy-six".