45085700520 has 256 divisors, whose sum is σ = 173333952000. Its totient is φ = 10210572288.

The previous prime is 45085700507. The next prime is 45085700531. The reversal of 45085700520 is 2500758054.

It is a happy number.

45085700520 is a `hidden beast` number, since 4 + 50 + 85 + 7 + 0 + 0 + 520 = 666.

45085700520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 796684 + ... + 851396.

It is an arithmetic number, because the mean of its divisors is an integer number (677085750).

Almost surely, 2^45085700520 is an apocalyptic number.

45085700520 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 45085700520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86666976000).

45085700520 is an abundant number, since it is smaller than the sum of its proper divisors (128248251480).

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

45085700520 is a wasteful number, since it uses less digits than its factorization.

45085700520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54849 (or 54839 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 45085700520 in words is "forty-five billion, eighty-five million, seven hundred thousand, five hundred twenty".