45757521810 has 1024 divisors, whose sum is σ = 181428387840. Its totient is φ = 7882997760.

The previous prime is 45757521781. The next prime is 45757521811. The reversal of 45757521810 is 1812575754.

45757521810 is a `hidden beast` number, since 4 + 57 + 575 + 2 + 18 + 10 = 666.

It is a super-2 number, since 2×45757521810² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45757521811) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 105675354 + ... + 105675786.

It is an arithmetic number, because the mean of its divisors is an integer number (177176160).

Almost surely, 2^45757521810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45757521810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90714193920).

45757521810 is an abundant number, since it is smaller than the sum of its proper divisors (135670866030).

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

45757521810 is a wasteful number, since it uses less digits than its factorization.

45757521810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 45757521810 in words is "forty-five billion, seven hundred fifty-seven million, five hundred twenty-one thousand, eight hundred ten".