15248988797952 has 1408 divisors, whose sum is σ = 55013499813888. Its totient is φ = 3641573376000.

The previous prime is 15248988797929. The next prime is 15248988797957. The reversal of 15248988797952 is 25979788984251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (84).

Its product of digits (7315660800) is a multiple of the sum of its prime factors (1225).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15248988797957) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14509027827 + ... + 14509028877.

It is an arithmetic number, because the mean of its divisors is an integer number (39072087936).

Almost surely, 2^{15248988797952} is an apocalyptic number.

15248988797952 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 15248988797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506749906944).

15248988797952 is an abundant number, since it is smaller than the sum of its proper divisors (39764511015936).

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

15248988797952 is a wasteful number, since it uses less digits than its factorization.

15248988797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1207 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 84.

The spelling of 15248988797952 in words is "fifteen trillion, two hundred forty-eight billion, nine hundred eighty-eight million, seven hundred ninety-seven thousand, nine hundred fifty-two".