15055705440 has 192 divisors, whose sum is σ = 52786883520. Its totient is φ = 4007854080.

The previous prime is 15055705397. The next prime is 15055705451. The reversal of 15055705440 is 4450755051.

15055705440 is a `hidden beast` number, since 1 + 50 + 557 + 0 + 54 + 4 + 0 = 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 = 15055705395 and 15055705404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766402 + ... + 2771838.

It is an arithmetic number, because the mean of its divisors is an integer number (274931685).

Almost surely, 2^15055705440 is an apocalyptic number.

15055705440 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 15055705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26393441760).

15055705440 is an abundant number, since it is smaller than the sum of its proper divisors (37731178080).

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

15055705440 is a wasteful number, since it uses less digits than its factorization.

15055705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 15055705440 in words is "fifteen billion, fifty-five million, seven hundred five thousand, four hundred forty".