15142163807520 has 240 divisors, whose sum is σ = 53451241683840. Its totient is φ = 4037001970176.

The previous prime is 15142163807489. The next prime is 15142163807579. The reversal of 15142163807520 is 2570836124151.

15142163807520 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 2 + 1 + 638 + 0 + 7 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58488921 + ... + 58747239.

It is an arithmetic number, because the mean of its divisors is an integer number (222713507016).

Almost surely, 2^{15142163807520} is an apocalyptic number.

15142163807520 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 15142163807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725620841920).

15142163807520 is an abundant number, since it is smaller than the sum of its proper divisors (38309077876320).

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

15142163807520 is a wasteful number, since it uses less digits than its factorization.

15142163807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262869 (or 262852 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 15142163807520 in words is "fifteen trillion, one hundred forty-two billion, one hundred sixty-three million, eight hundred seven thousand, five hundred twenty".