45580393980 has 768 divisors, whose sum is σ = 169444638720. Its totient is φ = 10059033600.

The previous prime is 45580393973. The next prime is 45580393981. The reversal of 45580393980 is 8939308554.

45580393980 is a `hidden beast` number, since 4 + 558 + 0 + 3 + 9 + 3 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45580393981) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 358900677 + ... + 358900803.

It is an arithmetic number, because the mean of its divisors is an integer number (220631040).

Almost surely, 2^45580393980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45580393980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84722319360).

45580393980 is an abundant number, since it is smaller than the sum of its proper divisors (123864244740).

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

45580393980 is a wasteful number, since it uses less digits than its factorization.

45580393980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45580393980 in words is "forty-five billion, five hundred eighty million, three hundred ninety-three thousand, nine hundred eighty".