15393840252 has 192 divisors, whose sum is σ = 43894308864. Its totient is φ = 4106350080.

The previous prime is 15393840251. The next prime is 15393840263. The reversal of 15393840252 is 25204839351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15393840251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8933463 + ... + 8935185.

It is an arithmetic number, because the mean of its divisors is an integer number (228616192).

Almost surely, 2^15393840252 is an apocalyptic number.

15393840252 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 15393840252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947154432).

15393840252 is an abundant number, since it is smaller than the sum of its proper divisors (28500468612).

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

15393840252 is a wasteful number, since it uses less digits than its factorization.

15393840252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 15393840252 in words is "fifteen billion, three hundred ninety-three million, eight hundred forty thousand, two hundred fifty-two".