15409138752 has 672 divisors, whose sum is σ = 55344267264. Its totient is φ = 4006195200.

The previous prime is 15409138699. The next prime is 15409138847. The reversal of 15409138752 is 25783190451.

15409138752 is a `hidden beast` number, since 1 + 540 + 9 + 1 + 38 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 15409138698 and 15409138707.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252608802 + ... + 252608862.

Almost surely, 2^15409138752 is an apocalyptic number.

15409138752 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 15409138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27672133632).

15409138752 is an abundant number, since it is smaller than the sum of its proper divisors (39935128512).

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

15409138752 is a wasteful number, since it uses less digits than its factorization.

15409138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 15409138752 in words is "fifteen billion, four hundred nine million, one hundred thirty-eight thousand, seven hundred fifty-two".