15005255040 has 192 divisors, whose sum is σ = 51879484800. Its totient is φ = 3996426240.

The previous prime is 15005255011. The next prime is 15005255051. The reversal of 15005255040 is 4055250051.

15005255040 is a `hidden beast` number, since 1 + 50 + 0 + 525 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 15005254995 and 15005255013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8529681 + ... + 8531439.

It is an arithmetic number, because the mean of its divisors is an integer number (270205650).

Almost surely, 2^15005255040 is an apocalyptic number.

15005255040 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 15005255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939742400).

15005255040 is an abundant number, since it is smaller than the sum of its proper divisors (36874229760).

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

15005255040 is a wasteful number, since it uses less digits than its factorization.

15005255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The spelling of 15005255040 in words is "fifteen billion, five million, two hundred fifty-five thousand, forty".