57491941328640 has 1440 divisors, whose sum is σ = 253844054217600. Its totient is φ = 12098824962048.

The previous prime is 57491941328621. The next prime is 57491941328719. The reversal of 57491941328640 is 4682314919475.

57491941328640 is a `hidden beast` number, since 5 + 7 + 491 + 9 + 4 + 132 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3745639686 + ... + 3745655034.

It is a 2-persistent number, because it is pandigital, and so is 2⋅57491941328640 = 114983882657280, but 3⋅57491941328640 = 172475823985920 is not.

Almost surely, 2^{57491941328640} 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 57491941328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126922027108800).

57491941328640 is an abundant number, since it is smaller than the sum of its proper divisors (196352112888960).

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

57491941328640 is a wasteful number, since it uses less digits than its factorization.

57491941328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 57491941328640 in words is "fifty-seven trillion, four hundred ninety-one billion, nine hundred forty-one million, three hundred twenty-eight thousand, six hundred forty".