57625626240 has 1536 divisors, whose sum is σ = 269460172800. Its totient is φ = 10999037952.

The previous prime is 57625626229. The next prime is 57625626277. The reversal of 57625626240 is 4262652675.

57625626240 is a `hidden beast` number, since 5 + 7 + 62 + 562 + 6 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258410769 + ... + 258410991.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 2^57625626240 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 57625626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134730086400).

57625626240 is an abundant number, since it is smaller than the sum of its proper divisors (211834546560).

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

57625626240 is a wasteful number, since it uses less digits than its factorization.

57625626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 57625 and 626240, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 57625626240 in words is "fifty-seven billion, six hundred twenty-five million, six hundred twenty-six thousand, two hundred forty".