57004941127680 has 4160 divisors, whose sum is σ = 270220308906240. Its totient is φ = 11154298503168.

The previous prime is 57004941127657. The next prime is 57004941127711. The reversal of 57004941127680 is 8672114940075.

57004941127680 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 494 + 1 + 1 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 248929873806 + ... + 248929874034.

Almost surely, 2^{57004941127680} 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 57004941127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110154453120).

57004941127680 is an abundant number, since it is smaller than the sum of its proper divisors (213215367778560).

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

57004941127680 is a wasteful number, since it uses less digits than its factorization.

57004941127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 57004941127680 in words is "fifty-seven trillion, four billion, nine hundred forty-one million, one hundred twenty-seven thousand, six hundred eighty".