15396756249672 has 384 divisors, whose sum is σ = 50356230912000. Its totient is φ = 4151674828800.

The previous prime is 15396756249659. The next prime is 15396756249689. The reversal of 15396756249672 is 27694265769351.

15396756249672 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 6 + 7 + 5 + 62 + 496 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 15396756249672.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3528935763 + ... + 3528940125.

It is an arithmetic number, because the mean of its divisors is an integer number (131136018000).

Almost surely, 2^{15396756249672} is an apocalyptic number.

15396756249672 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 15396756249672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178115456000).

15396756249672 is an abundant number, since it is smaller than the sum of its proper divisors (34959474662328).

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

15396756249672 is a wasteful number, since it uses less digits than its factorization.

15396756249672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5714 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 15396756249672 in words is "fifteen trillion, three hundred ninety-six billion, seven hundred fifty-six million, two hundred forty-nine thousand, six hundred seventy-two".