45559620288000 has 9600 divisors, whose sum is σ = 244253289646080. Its totient is φ = 8198317670400.

The previous prime is 45559620287971. The next prime is 45559620288001. The reversal of 45559620288000 is 88202695554.

45559620288000 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 9 + 620 + 2 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45559620288001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1980853055989 + ... + 1980853056011.

Almost surely, 2^{45559620288000} is an apocalyptic number.

45559620288000 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 45559620288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122126644823040).

45559620288000 is an abundant number, since it is smaller than the sum of its proper divisors (198693669358080).

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

45559620288000 is a wasteful number, since it uses less digits than its factorization.

45559620288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 45559620288000 in words is "forty-five trillion, five hundred fifty-nine billion, six hundred twenty million, two hundred eighty-eight thousand".