57550090752 has 1440 divisors, whose sum is σ = 235781694720. Its totient is φ = 13294632960.

The previous prime is 57550090751. The next prime is 57550090811. The reversal of 57550090752 is 25709005575.

57550090752 is a `hidden beast` number, since 5 + 7 + 5 + 500 + 90 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57550090698 and 57550090707.

It is not an unprimeable number, because it can be changed into a prime (57550090751) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1224469993 + ... + 1224470039.

It is an arithmetic number, because the mean of its divisors is an integer number (163737288).

Almost surely, 2^57550090752 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 57550090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117890847360).

57550090752 is an abundant number, since it is smaller than the sum of its proper divisors (178231603968).

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

57550090752 is a wasteful number, since it uses less digits than its factorization.

57550090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 57550090752 in words is "fifty-seven billion, five hundred fifty million, ninety thousand, seven hundred fifty-two".