57749625216 has 320 divisors, whose sum is σ = 178257974400. Its totient is φ = 18539642880.

The previous prime is 57749625203. The next prime is 57749625229. The reversal of 57749625216 is 61252694775.

It is a happy number.

57749625216 is a `hidden beast` number, since 5 + 7 + 7 + 4 + 9 + 625 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57749625203) and next prime (57749625229).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113456770 + ... + 113457278.

It is an arithmetic number, because the mean of its divisors is an integer number (557056170).

Almost surely, 2^57749625216 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 57749625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89128987200).

57749625216 is an abundant number, since it is smaller than the sum of its proper divisors (120508349184).

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

57749625216 is a wasteful number, since it uses less digits than its factorization.

57749625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 898 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 57749625216 in words is "fifty-seven billion, seven hundred forty-nine million, six hundred twenty-five thousand, two hundred sixteen".