45908007520 has 96 divisors (see below), whose sum is σ = 111511639008. Its totient is φ = 17847226368.

The previous prime is 45908007479. The next prime is 45908007553. The reversal of 45908007520 is 2570080954.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6111607 + ... + 6119113.

It is an arithmetic number, because the mean of its divisors is an integer number (1161579573).

Almost surely, 2^45908007520 is an apocalyptic number.

45908007520 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 45908007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755819504).

45908007520 is an abundant number, since it is smaller than the sum of its proper divisors (65603631488).

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

45908007520 is a wasteful number, since it uses less digits than its factorization.

45908007520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 45908007520 in words is "forty-five billion, nine hundred eight million, seven thousand, five hundred twenty".