15128942400 has 1344 divisors, whose sum is σ = 67728998400. Its totient is φ = 3234816000.

The previous prime is 15128942363. The next prime is 15128942467. The reversal of 15128942400 is 424982151.

15128942400 is a `hidden beast` number, since 151 + 2 + 89 + 424 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191505561 + ... + 191505639.

It is an arithmetic number, because the mean of its divisors is an integer number (50393600).

Almost surely, 2^15128942400 is an apocalyptic number.

15128942400 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 15128942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33864499200).

15128942400 is an abundant number, since it is smaller than the sum of its proper divisors (52600056000).

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

15128942400 is a wasteful number, since it uses less digits than its factorization.

15128942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

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

The spelling of 15128942400 in words is "fifteen billion, one hundred twenty-eight million, nine hundred forty-two thousand, four hundred".