45877777920 has 1120 divisors, whose sum is σ = 186344573184. Its totient is φ = 10749542400.

The previous prime is 45877777909. The next prime is 45877777987. The reversal of 45877777920 is 2977777854.

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, 752094690 + ... + 752094750.

Almost surely, 2^45877777920 is an apocalyptic number.

45877777920 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 45877777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93172286592).

45877777920 is an abundant number, since it is smaller than the sum of its proper divisors (140466795264).

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

45877777920 is an equidigital number, since it uses as much as digits as its factorization.

45877777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48404160, while the sum is 63.

The spelling of 45877777920 in words is "forty-five billion, eight hundred seventy-seven million, seven hundred seventy-seven thousand, nine hundred twenty".