58772727450 has 144 divisors (see below), whose sum is σ = 160060380480. Its totient is φ = 15459191040.

The previous prime is 58772727421. The next prime is 58772727451. The reversal of 58772727450 is 5472727785.

58772727450 is a `hidden beast` number, since 58 + 7 + 72 + 72 + 7 + 450 = 666.

58772727450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58772727451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44557891 + ... + 44559209.

It is an arithmetic number, because the mean of its divisors is an integer number (1111530420).

Almost surely, 2^58772727450 is an apocalyptic number.

58772727450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58772727450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80030190240).

58772727450 is an abundant number, since it is smaller than the sum of its proper divisors (101287653030).

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

58772727450 is a wasteful number, since it uses less digits than its factorization.

58772727450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 54.

The spelling of 58772727450 in words is "fifty-eight billion, seven hundred seventy-two million, seven hundred twenty-seven thousand, four hundred fifty".