15772272384960 has 2016 divisors, whose sum is σ = 71597263675392. Its totient is φ = 3219219210240.

The previous prime is 15772272384937. The next prime is 15772272384961. The reversal of 15772272384960 is 6948327227751.

It is a happy number.

15772272384960 is a `hidden beast` number, since 1 + 5 + 7 + 72 + 2 + 72 + 3 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15772272384961) 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 287 ways as a sum of consecutive naturals, for example, 5922744589 + ... + 5922747251.

It is an arithmetic number, because the mean of its divisors is an integer number (35514515712).

It is a 1-persistent number, because it is pandigital, but 2⋅15772272384960 = 31544544769920 is not.

Almost surely, 2^{15772272384960} is an apocalyptic number.

15772272384960 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 15772272384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35798631837696).

15772272384960 is an abundant number, since it is smaller than the sum of its proper divisors (55824991290432).

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

15772272384960 is an equidigital number, since it uses as much as digits as its factorization.

15772272384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 15772272384960 in words is "fifteen trillion, seven hundred seventy-two billion, two hundred seventy-two million, three hundred eighty-four thousand, nine hundred sixty".