45579037560 has 384 divisors, whose sum is σ = 164086456320. Its totient is φ = 10091547648.

The previous prime is 45579037529. The next prime is 45579037583. The reversal of 45579037560 is 6573097554.

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, 83325207 + ... + 83325753.

It is an arithmetic number, because the mean of its divisors is an integer number (427308480).

Almost surely, 2^45579037560 is an apocalyptic number.

45579037560 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 45579037560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82043228160).

45579037560 is an abundant number, since it is smaller than the sum of its proper divisors (118507418760).

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

45579037560 is a wasteful number, since it uses less digits than its factorization.

45579037560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

The spelling of 45579037560 in words is "forty-five billion, five hundred seventy-nine million, thirty-seven thousand, five hundred sixty".