15500668856400 has 720 divisors, whose sum is σ = 66257713290496. Its totient is φ = 3267870842880.

The previous prime is 15500668856383. The next prime is 15500668856417. The reversal of 15500668856400 is 465886600551.

15500668856400 is a `hidden beast` number, since 1 + 5 + 50 + 0 + 66 + 88 + 56 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (15500668856383) and next prime (15500668856417).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426844644 + ... + 426880956.

Almost surely, 2^{15500668856400} is an apocalyptic number.

15500668856400 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 15500668856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33128856645248).

15500668856400 is an abundant number, since it is smaller than the sum of its proper divisors (50757044434096).

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

15500668856400 is a wasteful number, since it uses less digits than its factorization.

15500668856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37660 (or 37646 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 15500668856400 in words is "fifteen trillion, five hundred billion, six hundred sixty-eight million, eight hundred fifty-six thousand, four hundred".