15352252755840 has 3072 divisors, whose sum is σ = 78170396129280. Its totient is φ = 2770993152000.

The previous prime is 15352252755797. The next prime is 15352252755893. The reversal of 15352252755840 is 4855725225351.

15352252755840 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 2 + 2 + 52 + 7 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2646480940 + ... + 2646486740.

It is an arithmetic number, because the mean of its divisors is an integer number (25446092490).

Almost surely, 2^{15352252755840} is an apocalyptic number.

15352252755840 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 15352252755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39085198064640).

15352252755840 is an abundant number, since it is smaller than the sum of its proper divisors (62818143373440).

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

15352252755840 is a wasteful number, since it uses less digits than its factorization.

15352252755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 15352252755840 in words is "fifteen trillion, three hundred fifty-two billion, two hundred fifty-two million, seven hundred fifty-five thousand, eight hundred forty".