15255745727040 has 2240 divisors, whose sum is σ = 70128516648960. Its totient is φ = 3059697991680.

The previous prime is 15255745726967. The next prime is 15255745727249. The reversal of 15255745727040 is 4072754755251.

15255745727040 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 574 + 5 + 7 + 27 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9710849455 + ... + 9710851025.

It is an arithmetic number, because the mean of its divisors is an integer number (31307373504).

Almost surely, 2^{15255745727040} is an apocalyptic number.

15255745727040 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 15255745727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35064258324480).

15255745727040 is an abundant number, since it is smaller than the sum of its proper divisors (54872770921920).

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

15255745727040 is a wasteful number, since it uses less digits than its factorization.

15255745727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 13720000, while the sum is 54.

The spelling of 15255745727040 in words is "fifteen trillion, two hundred fifty-five billion, seven hundred forty-five million, seven hundred twenty-seven thousand, forty".