15078968076480 has 1344 divisors, whose sum is σ = 60887768739840. Its totient is φ = 3094705152000.

The previous prime is 15078968076413. The next prime is 15078968076527. The reversal of 15078968076480 is 8467086987051.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×15078968076480² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30710729035 + ... + 30710729525.

It is an arithmetic number, because the mean of its divisors is an integer number (45303399360).

Almost surely, 2^{15078968076480} is an apocalyptic number.

15078968076480 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 15078968076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30443884369920).

15078968076480 is an abundant number, since it is smaller than the sum of its proper divisors (45808800663360).

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

15078968076480 is a wasteful number, since it uses less digits than its factorization.

15078968076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 15078968076480 in words is "fifteen trillion, seventy-eight billion, nine hundred sixty-eight million, seventy-six thousand, four hundred eighty".