45980517909600 has 576 divisors, whose sum is σ = 175138577913600. Its totient is φ = 11610162708480.

The previous prime is 45980517909551. The next prime is 45980517909643. The reversal of 45980517909600 is 690971508954.

45980517909600 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 0 + 5 + 17 + 9 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×45980517909600² (a number of 28 digits) contains 22 as substring.

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, 827749027 + ... + 827804573.

It is an arithmetic number, because the mean of its divisors is an integer number (304060031100).

Almost surely, 2^{45980517909600} is an apocalyptic number.

45980517909600 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 45980517909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87569288956800).

45980517909600 is an abundant number, since it is smaller than the sum of its proper divisors (129158060004000).

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

45980517909600 is a wasteful number, since it uses less digits than its factorization.

45980517909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57612 (or 57593 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 45980517909600 in words is "forty-five trillion, nine hundred eighty billion, five hundred seventeen million, nine hundred nine thousand, six hundred".