15040993968 has 240 divisors, whose sum is σ = 56518215936. Its totient is φ = 3606197760.

The previous prime is 15040993897. The next prime is 15040993969. The reversal of 15040993968 is 86939904051.

It is not an unprimeable number, because it can be changed into a prime (15040993969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 91971 + ... + 196317.

Almost surely, 2^15040993968 is an apocalyptic number.

15040993968 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 15040993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28259107968).

15040993968 is an abundant number, since it is smaller than the sum of its proper divisors (41477221968).

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

15040993968 is a wasteful number, since it uses less digits than its factorization.

15040993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104392 (or 104383 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 15040993968 in words is "fifteen billion, forty million, nine hundred ninety-three thousand, nine hundred sixty-eight".