15120096768 has 640 divisors, whose sum is σ = 54336522240. Its totient is φ = 4060938240.

The previous prime is 15120096689. The next prime is 15120096787. The reversal of 15120096768 is 86769002151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146797005 + ... + 146797107.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^15120096768 is an apocalyptic number.

15120096768 is a gapful number since it is divisible by the number (18) 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 15120096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168261120).

15120096768 is an abundant number, since it is smaller than the sum of its proper divisors (39216425472).

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

15120096768 is a wasteful number, since it uses less digits than its factorization.

15120096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 151200 and 96768, that multiplied together give a square (14631321600 = 120960²).

The spelling of 15120096768 in words is "fifteen billion, one hundred twenty million, ninety-six thousand, seven hundred sixty-eight".