57825539634240 has 504 divisors, whose sum is σ = 239937760887552. Its totient is φ = 13217265331200.

The previous prime is 57825539634221. The next prime is 57825539634241. The reversal of 57825539634240 is 4243693552875.

57825539634240 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 553 + 9 + 6 + 34 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×57825539634240² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57825539634241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3777936 + ... + 11398415.

It is an arithmetic number, because the mean of its divisors is an integer number (476066985888).

Almost surely, 2^{57825539634240} 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 57825539634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119968880443776).

57825539634240 is an abundant number, since it is smaller than the sum of its proper divisors (182112221253312).

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

57825539634240 is a wasteful number, since it uses less digits than its factorization.

57825539634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176397 (or 15176368 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 57825539634240 in words is "fifty-seven trillion, eight hundred twenty-five billion, five hundred thirty-nine million, six hundred thirty-four thousand, two hundred forty".