58503772800 has 1440 divisors, whose sum is σ = 253711038240. Its totient is φ = 13160448000.

The previous prime is 58503772763. The next prime is 58503772801. The reversal of 58503772800 is 827730585.

58503772800 is a `hidden beast` number, since 58 + 503 + 77 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (58503772801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 823996765 + ... + 823996835.

It is an arithmetic number, because the mean of its divisors is an integer number (176188221).

Almost surely, 2^58503772800 is an apocalyptic number.

58503772800 is a gapful number since it is divisible by the number (50) 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 58503772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126855519120).

58503772800 is an abundant number, since it is smaller than the sum of its proper divisors (195207265440).

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

58503772800 is a wasteful number, since it uses less digits than its factorization.

58503772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 58503772800 in words is "fifty-eight billion, five hundred three million, seven hundred seventy-two thousand, eight hundred".