15129982080 has 384 divisors, whose sum is σ = 55099278000. Its totient is φ = 3819798528.

The previous prime is 15129982039. The next prime is 15129982121. The reversal of 15129982080 is 8028992151.

15129982080 is a `hidden beast` number, since 151 + 299 + 8 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15129982039) and next prime (15129982121).

It can be written as a sum of positive squares in 8 ways, for example, as 5872463424 + 9257518656 = 76632^2 + 96216^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×15129982080² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8852266 + ... + 8853974.

Almost surely, 2^15129982080 is an apocalyptic number.

15129982080 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 15129982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27549639000).

15129982080 is an abundant number, since it is smaller than the sum of its proper divisors (39969295920).

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

15129982080 is a wasteful number, since it uses less digits than its factorization.

15129982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 15129982080 in words is "fifteen billion, one hundred twenty-nine million, nine hundred eighty-two thousand, eighty".