45571852800 has 480 divisors, whose sum is σ = 173076868800. Its totient is φ = 11730862080.

The previous prime is 45571852759. The next prime is 45571852813. The reversal of 45571852800 is 825817554.

45571852800 is a `hidden beast` number, since 4 + 55 + 71 + 8 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10020127 + ... + 10024673.

It is an arithmetic number, because the mean of its divisors is an integer number (360576810).

Almost surely, 2^45571852800 is an apocalyptic number.

45571852800 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 45571852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538434400).

45571852800 is an abundant number, since it is smaller than the sum of its proper divisors (127505016000).

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

45571852800 is a wasteful number, since it uses less digits than its factorization.

45571852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 45571852800 in words is "forty-five billion, five hundred seventy-one million, eight hundred fifty-two thousand, eight hundred".