15115432550400 has 6720 divisors, whose sum is σ = 79288645201920. Its totient is φ = 2751882854400.

The previous prime is 15115432550389. The next prime is 15115432550423. The reversal of 15115432550400 is 405523451151.

15115432550400 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 543 + 25 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 487594598385 + ... + 487594598415.

It is an arithmetic number, because the mean of its divisors is an integer number (11798905536).

Almost surely, 2^{15115432550400} is an apocalyptic number.

15115432550400 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 15115432550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39644322600960).

15115432550400 is an abundant number, since it is smaller than the sum of its proper divisors (64173212651520).

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

15115432550400 is a wasteful number, since it uses less digits than its factorization.

15115432550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 15115432550400 in words is "fifteen trillion, one hundred fifteen billion, four hundred thirty-two million, five hundred fifty thousand, four hundred".