15056213517312 has 528 divisors, whose sum is σ = 44985866612736. Its totient is φ = 4472587468800.

The previous prime is 15056213517287. The next prime is 15056213517337. The reversal of 15056213517312 is 21371531265051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15056213517287) and next prime (15056213517337).

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553747637 + ... + 5553750347.

Almost surely, 2^{15056213517312} is an apocalyptic number.

15056213517312 is a gapful number since it is divisible by the number (12) 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 15056213517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492933306368).

15056213517312 is an abundant number, since it is smaller than the sum of its proper divisors (29929653095424).

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

15056213517312 is a wasteful number, since it uses less digits than its factorization.

15056213517312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 15056213517312 in words is "fifteen trillion, fifty-six billion, two hundred thirteen million, five hundred seventeen thousand, three hundred twelve".