15128985600000 has 1512 divisors, whose sum is σ = 59633914747680. Its totient is φ = 3822059520000.

The previous prime is 15128985599971. The next prime is 15128985600013. The reversal of 15128985600000 is 658982151.

It is a happy number.

15128985600000 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 89 + 8 + 560 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 796262399991 + ... + 796262400009.

Almost surely, 2^{15128985600000} is an apocalyptic number.

15128985600000 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 15128985600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816957373840).

15128985600000 is an abundant number, since it is smaller than the sum of its proper divisors (44504929147680).

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

15128985600000 is an frugal number, since it uses more digits than its factorization.

15128985600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 15128985600000 in words is "fifteen trillion, one hundred twenty-eight billion, nine hundred eighty-five million, six hundred thousand".