45699795025920 has 1920 divisors, whose sum is σ = 196823888997120. Its totient is φ = 10104251351040.

The previous prime is 45699795025909. The next prime is 45699795025939. The reversal of 45699795025920 is 2952059799654.

45699795025920 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 97 + 9 + 502 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×45699795025920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20158708627 + ... + 20158710893.

It is an arithmetic number, because the mean of its divisors is an integer number (102512442186).

Almost surely, 2^{45699795025920} is an apocalyptic number.

45699795025920 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 45699795025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98411944498560).

45699795025920 is an abundant number, since it is smaller than the sum of its proper divisors (151124093971200).

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

45699795025920 is an equidigital number, since it uses as much as digits as its factorization.

45699795025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 45699795025920 in words is "forty-five trillion, six hundred ninety-nine billion, seven hundred ninety-five million, twenty-five thousand, nine hundred twenty".