15296920000 has 140 divisors (see below), whose sum is σ = 39242344680. Its totient is φ = 5907328000.

The previous prime is 15296919973. The next prime is 15296920069. The reversal of 15296920000 is 2969251.

15296920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×15296920000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1153407 + ... + 1166593.

It is an arithmetic number, because the mean of its divisors is an integer number (280302462).

Almost surely, 2^15296920000 is an apocalyptic number.

15296920000 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 15296920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621172340).

15296920000 is an abundant number, since it is smaller than the sum of its proper divisors (23945424680).

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

15296920000 is an equidigital number, since it uses as much as digits as its factorization.

15296920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13223 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 15296920000 in words is "fifteen billion, two hundred ninety-six million, nine hundred twenty thousand".