15252157440 has 1056 divisors, whose sum is σ = 63089784576. Its totient is φ = 3503554560.

The previous prime is 15252157423. The next prime is 15252157441. The reversal of 15252157440 is 4475125251.

15252157440 is a `hidden beast` number, since 1 + 5 + 25 + 21 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15252157395 and 15252157404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15252157441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372003820 + ... + 372003860.

Almost surely, 2^15252157440 is an apocalyptic number.

15252157440 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 15252157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31544892288).

15252157440 is an abundant number, since it is smaller than the sum of its proper divisors (47837627136).

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

15252157440 is a wasteful number, since it uses less digits than its factorization.

15252157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 15252157440 in words is "fifteen billion, two hundred fifty-two million, one hundred fifty-seven thousand, four hundred forty".