45761880120 has 256 divisors, whose sum is σ = 152040430080. Its totient is φ = 10926489600.

The previous prime is 45761880071. The next prime is 45761880169. The reversal of 45761880120 is 2108816754.

45761880120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45761880071) and next prime (45761880169).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30856899 + ... + 30858381.

It is an arithmetic number, because the mean of its divisors is an integer number (593907930).

Almost surely, 2^45761880120 is an apocalyptic number.

45761880120 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 45761880120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76020215040).

45761880120 is an abundant number, since it is smaller than the sum of its proper divisors (106278549960).

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

45761880120 is a wasteful number, since it uses less digits than its factorization.

45761880120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 45761880120 in words is "forty-five billion, seven hundred sixty-one million, eight hundred eighty thousand, one hundred twenty".