58405681152 has 960 divisors, whose sum is σ = 221759778240. Its totient is φ = 14906032128.

The previous prime is 58405681093. The next prime is 58405681153. The reversal of 58405681152 is 25118650485.

58405681152 is a `hidden beast` number, since 5 + 84 + 0 + 568 + 1 + 1 + 5 + 2 = 666.

58405681152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58405681152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58405681098 and 58405681107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58405681153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800077788 + ... + 800077860.

It is an arithmetic number, because the mean of its divisors is an integer number (230999769).

Almost surely, 2^58405681152 is an apocalyptic number.

58405681152 is a gapful number since it is divisible by the number (52) 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 58405681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110879889120).

58405681152 is an abundant number, since it is smaller than the sum of its proper divisors (163354097088).

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

58405681152 is a wasteful number, since it uses less digits than its factorization.

58405681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 58405681152 in words is "fifty-eight billion, four hundred five million, six hundred eighty-one thousand, one hundred fifty-two".