14878900680000 has 560 divisors, whose sum is σ = 56247427361664. Its totient is φ = 3399275520000.

The previous prime is 14878900679969. The next prime is 14878900680013. The reversal of 14878900680000 is 8600987841.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 3491877870 + ... + 3491882130.

Almost surely, 2^{14878900680000} is an apocalyptic number.

14878900680000 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 14878900680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123713680832).

14878900680000 is an abundant number, since it is smaller than the sum of its proper divisors (41368526681664).

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

14878900680000 is an equidigital number, since it uses as much as digits as its factorization.

14878900680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 14878900680000 in words is "fourteen trillion, eight hundred seventy-eight billion, nine hundred million, six hundred eighty thousand".