45999759100800 has 384 divisors, whose sum is σ = 165599150976000. Its totient is φ = 11172615782400.

The previous prime is 45999759100699. The next prime is 45999759100859. The reversal of 45999759100800 is 800195799954.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513051 + ... + 9605349.

It is an arithmetic number, because the mean of its divisors is an integer number (431247789000).

Almost surely, 2^{45999759100800} is an apocalyptic number.

45999759100800 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 45999759100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82799575488000).

45999759100800 is an abundant number, since it is smaller than the sum of its proper divisors (119599391875200).

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

45999759100800 is a wasteful number, since it uses less digits than its factorization.

45999759100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092374 (or 9092357 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 66.

The spelling of 45999759100800 in words is "forty-five trillion, nine hundred ninety-nine billion, seven hundred fifty-nine million, one hundred thousand, eight hundred".