57552026688 has 672 divisors, whose sum is σ = 193753752192. Its totient is φ = 16821043200.

The previous prime is 57552026683. The next prime is 57552026689. The reversal of 57552026688 is 88662025575.

57552026688 is a `hidden beast` number, since 5 + 7 + 552 + 0 + 2 + 6 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57552026683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439328383 + ... + 439328513.

It is an arithmetic number, because the mean of its divisors is an integer number (288324036).

Almost surely, 2^57552026688 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 57552026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96876876096).

57552026688 is an abundant number, since it is smaller than the sum of its proper divisors (136201725504).

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

57552026688 is a wasteful number, since it uses less digits than its factorization.

57552026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 57552026688 in words is "fifty-seven billion, five hundred fifty-two million, twenty-six thousand, six hundred eighty-eight".