15012275264 has 224 divisors, whose sum is σ = 36392632320. Its totient is φ = 6009292800.

The previous prime is 15012275249. The next prime is 15012275273. The reversal of 15012275264 is 46257221051.

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

It is a super-3 number, since 3×15012275264³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71148119 + ... + 71148329.

Almost surely, 2^15012275264 is an apocalyptic number.

15012275264 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 15012275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196316160).

15012275264 is an abundant number, since it is smaller than the sum of its proper divisors (21380357056).

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

15012275264 is a wasteful number, since it uses less digits than its factorization.

15012275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 15012275264 in words is "fifteen billion, twelve million, two hundred seventy-five thousand, two hundred sixty-four".