45588977513280 has 784 divisors, whose sum is σ = 171470185562880. Its totient is φ = 11507806162944.

The previous prime is 45588977513227. The next prime is 45588977513347. The reversal of 45588977513280 is 8231577988554.

45588977513280 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 89 + 7 + 7 + 513 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45588977513199 and 45588977513208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6590856382 + ... + 6590863298.

Almost surely, 2^{45588977513280} is an apocalyptic number.

45588977513280 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 45588977513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85735092781440).

45588977513280 is an abundant number, since it is smaller than the sum of its proper divisors (125881208049600).

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

45588977513280 is a wasteful number, since it uses less digits than its factorization.

45588977513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 45588977513280 in words is "forty-five trillion, five hundred eighty-eight billion, nine hundred seventy-seven million, five hundred thirteen thousand, two hundred eighty".