15078199968 has 288 divisors, whose sum is σ = 49019443200. Its totient is φ = 4358043648.

The previous prime is 15078199943. The next prime is 15078200021. The reversal of 15078199968 is 86999187051.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×15078199968² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9033438 + ... + 9035106.

It is an arithmetic number, because the mean of its divisors is an integer number (170206400).

Almost surely, 2^15078199968 is an apocalyptic number.

15078199968 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 15078199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24509721600).

15078199968 is an abundant number, since it is smaller than the sum of its proper divisors (33941243232).

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

15078199968 is a wasteful number, since it uses less digits than its factorization.

15078199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 15078199968 in words is "fifteen billion, seventy-eight million, one hundred ninety-nine thousand, nine hundred sixty-eight".