45859937760 has 576 divisors, whose sum is σ = 193476366720. Its totient is φ = 9632563200.

The previous prime is 45859937759. The next prime is 45859937821. The reversal of 45859937760 is 6773995854.

45859937760 is a `hidden beast` number, since 4 + 5 + 8 + 599 + 37 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35249110 + ... + 35250410.

It is an arithmetic number, because the mean of its divisors is an integer number (335896470).

Almost surely, 2^45859937760 is an apocalyptic number.

45859937760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45859937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96738183360).

45859937760 is an abundant number, since it is smaller than the sum of its proper divisors (147616428960).

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

45859937760 is a wasteful number, since it uses less digits than its factorization.

45859937760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 45859937760 in words is "forty-five billion, eight hundred fifty-nine million, nine hundred thirty-seven thousand, seven hundred sixty".