15972265745280 has 2304 divisors, whose sum is σ = 67459675046400. Its totient is φ = 3453301555200.

The previous prime is 15972265745257. The next prime is 15972265745299. The reversal of 15972265745280 is 8254756227951.

It is a happy number.

15972265745280 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 2 + 2 + 6 + 574 + 52 + 8 + 0 = 666.

15972265745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15972265745280² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19454647270 + ... + 19454648090.

It is an arithmetic number, because the mean of its divisors is an integer number (29279372850).

Almost surely, 2^{15972265745280} is an apocalyptic number.

15972265745280 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 15972265745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729837523200).

15972265745280 is an abundant number, since it is smaller than the sum of its proper divisors (51487409301120).

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

15972265745280 is a wasteful number, since it uses less digits than its factorization.

15972265745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 15972265745280 in words is "fifteen trillion, nine hundred seventy-two billion, two hundred sixty-five million, seven hundred forty-five thousand, two hundred eighty".