57533450137152 has 448 divisors, whose sum is σ = 177457300761600. Its totient is φ = 16267393105920.

The previous prime is 57533450137127. The next prime is 57533450137169. The reversal of 57533450137152 is 25173105433575.

It is a super-2 number, since 2×57533450137152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57533450137095 and 57533450137104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917816403 + ... + 917879085.

Almost surely, 2^{57533450137152} 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 57533450137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88728650380800).

57533450137152 is an abundant number, since it is smaller than the sum of its proper divisors (119923850624448).

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

57533450137152 is a wasteful number, since it uses less digits than its factorization.

57533450137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63074 (or 63064 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 51.

The spelling of 57533450137152 in words is "fifty-seven trillion, five hundred thirty-three billion, four hundred fifty million, one hundred thirty-seven thousand, one hundred fifty-two".