15072486912 has 640 divisors, whose sum is σ = 54446515200. Its totient is φ = 4025548800.

The previous prime is 15072486901. The next prime is 15072486929. The reversal of 15072486912 is 21968427051.

15072486912 is a `hidden beast` number, since 15 + 0 + 72 + 486 + 91 + 2 = 666.

It is a super-2 number, since 2×15072486912² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115057087 + ... + 115057217.

It is an arithmetic number, because the mean of its divisors is an integer number (85072680).

Almost surely, 2^15072486912 is an apocalyptic number.

15072486912 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 15072486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223257600).

15072486912 is an abundant number, since it is smaller than the sum of its proper divisors (39374028288).

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

15072486912 is a wasteful number, since it uses less digits than its factorization.

15072486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 15072486912 in words is "fifteen billion, seventy-two million, four hundred eighty-six thousand, nine hundred twelve".