15972318720 has 800 divisors, whose sum is σ = 63527416128. Its totient is φ = 3814981632.

The previous prime is 15972318667. The next prime is 15972318727. The reversal of 15972318720 is 2781327951.

15972318720 is a `hidden beast` number, since 1 + 597 + 2 + 31 + 8 + 7 + 20 = 666.

It is a super-2 number, since 2×15972318720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15972318727) 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 79 ways as a sum of consecutive naturals, for example, 81077662 + ... + 81077858.

Almost surely, 2^15972318720 is an apocalyptic number.

15972318720 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 15972318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763708064).

15972318720 is an abundant number, since it is smaller than the sum of its proper divisors (47555097408).

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

15972318720 is a wasteful number, since it uses less digits than its factorization.

15972318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 15972318720 in words is "fifteen billion, nine hundred seventy-two million, three hundred eighteen thousand, seven hundred twenty".