15127532420 has 288 divisors, whose sum is σ = 43634868480. Its totient is φ = 4254382080.

The previous prime is 15127532419. The next prime is 15127532477. The reversal of 15127532420 is 2423572151.

15127532420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 56236046 + ... + 56236314.

It is an arithmetic number, because the mean of its divisors is an integer number (151509960).

Almost surely, 2^15127532420 is an apocalyptic number.

15127532420 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 15127532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817434240).

15127532420 is an abundant number, since it is smaller than the sum of its proper divisors (28507336060).

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

15127532420 is a wasteful number, since it uses less digits than its factorization.

15127532420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 15127532420 in words is "fifteen billion, one hundred twenty-seven million, five hundred thirty-two thousand, four hundred twenty".