15240325430772 has 288 divisors, whose sum is σ = 43576132699008. Its totient is φ = 4629254229504.

The previous prime is 15240325430713. The next prime is 15240325430779. The reversal of 15240325430772 is 27703452304251.

15240325430772 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 0 + 32 + 543 + 0 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15240325430779) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565835618 + ... + 1565845350.

It is an arithmetic number, because the mean of its divisors is an integer number (151306016316).

Almost surely, 2^{15240325430772} is an apocalyptic number.

15240325430772 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 15240325430772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788066349504).

15240325430772 is an abundant number, since it is smaller than the sum of its proper divisors (28335807268236).

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

15240325430772 is a wasteful number, since it uses less digits than its factorization.

15240325430772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 15240325430772 in words is "fifteen trillion, two hundred forty billion, three hundred twenty-five million, four hundred thirty thousand, seven hundred seventy-two".