15279987315264 has 224 divisors, whose sum is σ = 46597538414592. Its totient is φ = 4328563200000.

The previous prime is 15279987315259. The next prime is 15279987315269. The reversal of 15279987315264 is 46251378997251.

It is an interprime number because it is at equal distance from previous prime (15279987315259) and next prime (15279987315269).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (15279987315269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202611964 + ... + 202687364.

Almost surely, 2^{15279987315264} is an apocalyptic number.

15279987315264 is a gapful number since it is divisible by the number (14) 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 15279987315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298769207296).

15279987315264 is an abundant number, since it is smaller than the sum of its proper divisors (31317551099328).

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

15279987315264 is a wasteful number, since it uses less digits than its factorization.

15279987315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76705 (or 76695 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 69.

The spelling of 15279987315264 in words is "fifteen trillion, two hundred seventy-nine billion, nine hundred eighty-seven million, three hundred fifteen thousand, two hundred sixty-four".