58612780800 has 972 divisors, whose sum is σ = 256831400280. Its totient is φ = 12680478720.

The previous prime is 58612780783. The next prime is 58612780843. The reversal of 58612780800 is 808721685.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53625054 + ... + 53626146.

Almost surely, 2^58612780800 is an apocalyptic number.

58612780800 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 58612780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128415700140).

58612780800 is an abundant number, since it is smaller than the sum of its proper divisors (198218619480).

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

58612780800 is a wasteful number, since it uses less digits than its factorization.

58612780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 58612780800 in words is "fifty-eight billion, six hundred twelve million, seven hundred eighty thousand, eight hundred".