12058887456 has 432 divisors, whose sum is σ = 43923847968. Its totient is φ = 3103027200.

The previous prime is 12058887433. The next prime is 12058887499. The reversal of 12058887456 is 65478885021.

12058887456 is a `hidden beast` number, since 1 + 2 + 0 + 588 + 8 + 7 + 4 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20335096 + ... + 20335688.

It is an arithmetic number, because the mean of its divisors is an integer number (101675574).

Almost surely, 2^12058887456 is an apocalyptic number.

12058887456 is a gapful number since it is divisible by the number (16) 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 12058887456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21961923984).

12058887456 is an abundant number, since it is smaller than the sum of its proper divisors (31864960512).

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

12058887456 is a wasteful number, since it uses less digits than its factorization.

12058887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12058887456 in words is "twelve billion, fifty-eight million, eight hundred eighty-seven thousand, four hundred fifty-six".