57525049664208 has 480 divisors, whose sum is σ = 192205233792000. Its totient is φ = 16045533326592.

The previous prime is 57525049664183. The next prime is 57525049664231. The reversal of 57525049664208 is 80246694052575.

57525049664208 is a `hidden beast` number, since 5 + 7 + 52 + 50 + 496 + 6 + 42 + 0 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5239547263 + ... + 5239558241.

It is an arithmetic number, because the mean of its divisors is an integer number (400427570400).

Almost surely, 2^{57525049664208} 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 57525049664208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96102616896000).

57525049664208 is an abundant number, since it is smaller than the sum of its proper divisors (134680184127792).

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

57525049664208 is a wasteful number, since it uses less digits than its factorization.

57525049664208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 57525049664208 in words is "fifty-seven trillion, five hundred twenty-five billion, forty-nine million, six hundred sixty-four thousand, two hundred eight".