15126746880 has 432 divisors, whose sum is σ = 59516946720. Its totient is φ = 3253469184.

The previous prime is 15126746879. The next prime is 15126746891. The reversal of 15126746880 is 8864762151.

15126746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196356 + ... + 3201084.

It is an arithmetic number, because the mean of its divisors is an integer number (137770710).

Almost surely, 2^15126746880 is an apocalyptic number.

15126746880 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 15126746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758473360).

15126746880 is an abundant number, since it is smaller than the sum of its proper divisors (44390199840).

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

15126746880 is a wasteful number, since it uses less digits than its factorization.

15126746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 15126746880 in words is "fifteen billion, one hundred twenty-six million, seven hundred forty-six thousand, eight hundred eighty".