15479341056000 has 968 divisors, whose sum is σ = 57954311940564. Its totient is φ = 4127824281600.

The previous prime is 15479341055993. The next prime is 15479341056001. The reversal of 15479341056000 is 65014397451.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (4!)² ⋅ (3!)² ⋅ 2!.

15479341056000 is a `hidden beast` number, since 1 + 5 + 4 + 7 + 9 + 34 + 1 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10464034553856 + 5015306502144 = 3234816^2 + 2239488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=17280.

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 (15479341056001) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3095868211198 + ... + 3095868211202.

Almost surely, 2^{15479341056000} is an apocalyptic number.

15479341056000 is a gapful number since it is divisible by the number (10) 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 15479341056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977155970282).

15479341056000 is an abundant number, since it is smaller than the sum of its proper divisors (42474970884564).

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

15479341056000 is an frugal number, since it uses more digits than its factorization.

15479341056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 15479341056000 in words is "fifteen trillion, four hundred seventy-nine billion, three hundred forty-one million, fifty-six thousand".