15060142080 has 480 divisors, whose sum is σ = 54988053120. Its totient is φ = 3941498880.

The previous prime is 15060142021. The next prime is 15060142103. The reversal of 15060142080 is 8024106051.

15060142080 is a `hidden beast` number, since 1 + 50 + 601 + 4 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55572345 + ... + 55572615.

It is an arithmetic number, because the mean of its divisors is an integer number (114558444).

Almost surely, 2^15060142080 is an apocalyptic number.

15060142080 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 15060142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27494026560).

15060142080 is an abundant number, since it is smaller than the sum of its proper divisors (39927911040).

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

15060142080 is an equidigital number, since it uses as much as digits as its factorization.

15060142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 15060142080 in words is "fifteen billion, sixty million, one hundred forty-two thousand, eighty".