57119261552640 has 1872 divisors, whose sum is σ = 244662309047520. Its totient is φ = 12247577395200.

The previous prime is 57119261552629. The next prime is 57119261552641. The reversal of 57119261552640 is 4625516291175.

57119261552640 is a `hidden beast` number, since 5 + 7 + 1 + 1 + 9 + 26 + 1 + 552 + 64 + 0 = 666.

It is a super-2 number, since 2×57119261552640² (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 (57119261552641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92276674251 + ... + 92276674869.

It is an arithmetic number, because the mean of its divisors is an integer number (130695677910).

Almost surely, 2^{57119261552640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57119261552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122331154523760).

57119261552640 is an abundant number, since it is smaller than the sum of its proper divisors (187543047494880).

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

57119261552640 is a wasteful number, since it uses less digits than its factorization.

57119261552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 57119261552640 in words is "fifty-seven trillion, one hundred nineteen billion, two hundred sixty-one million, five hundred fifty-two thousand, six hundred forty".