45188587825920 has 6480 divisors, whose sum is σ = 224770593690720. Its totient is φ = 8608233553920.

The previous prime is 45188587825903. The next prime is 45188587825933. The reversal of 45188587825920 is 2952878588154.

45188587825920 is a `hidden beast` number, since 4 + 5 + 18 + 8 + 587 + 8 + 2 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 619021751004 + ... + 619021751076.

It is an arithmetic number, because the mean of its divisors is an integer number (34686820014).

Almost surely, 2^{45188587825920} is an apocalyptic number.

45188587825920 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 45188587825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112385296845360).

45188587825920 is an abundant number, since it is smaller than the sum of its proper divisors (179582005864800).

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

45188587825920 is a wasteful number, since it uses less digits than its factorization.

45188587825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 45188587825920 in words is "forty-five trillion, one hundred eighty-eight billion, five hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred twenty".