15132826080 has 768 divisors, whose sum is σ = 60615475200. Its totient is φ = 3515719680.

The previous prime is 15132826069. The next prime is 15132826087. The reversal of 15132826080 is 8062823151.

It is a happy number.

15132826080 is a `hidden beast` number, since 1 + 513 + 2 + 8 + 2 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15132826087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488155665 + ... + 488155695.

It is an arithmetic number, because the mean of its divisors is an integer number (78926400).

Almost surely, 2^15132826080 is an apocalyptic number.

15132826080 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 15132826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307737600).

15132826080 is an abundant number, since it is smaller than the sum of its proper divisors (45482649120).

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

15132826080 is a wasteful number, since it uses less digits than its factorization.

15132826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 15132826080 in words is "fifteen billion, one hundred thirty-two million, eight hundred twenty-six thousand, eighty".