15091996068072 has 672 divisors, whose sum is σ = 53445924618240. Its totient is φ = 3909012307200.

The previous prime is 15091996068053. The next prime is 15091996068073. The reversal of 15091996068072 is 27086069919051.

15091996068072 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 19 + 9 + 606 + 8 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (15091996068073) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 1842505497 + ... + 1842513687.

It is an arithmetic number, because the mean of its divisors is an integer number (79532625920).

Almost surely, 2^{15091996068072} is an apocalyptic number.

15091996068072 is a gapful number since it is divisible by the number (12) 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 15091996068072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26722962309120).

15091996068072 is an abundant number, since it is smaller than the sum of its proper divisors (38353928550168).

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

15091996068072 is a wasteful number, since it uses less digits than its factorization.

15091996068072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 15091996068072 in words is "fifteen trillion, ninety-one billion, nine hundred ninety-six million, sixty-eight thousand, seventy-two".