14993827056000 has 1152 divisors, whose sum is σ = 60221379123360. Its totient is φ = 3690452275200.

The previous prime is 14993827055993. The next prime is 14993827056011. The reversal of 14993827056000 is 65072839941.

14993827056000 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 3 + 8 + 2 + 70 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1364682507 + ... + 1364693493.

It is a 1-persistent number, because it is pandigital, but 2⋅14993827056000 = 29987654112000 is not.

Almost surely, 2^{14993827056000} is an apocalyptic number.

14993827056000 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 14993827056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110689561680).

14993827056000 is an abundant number, since it is smaller than the sum of its proper divisors (45227552067360).

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

14993827056000 is an frugal number, since it uses more digits than its factorization.

14993827056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 14993827056000 in words is "fourteen trillion, nine hundred ninety-three billion, eight hundred twenty-seven million, fifty-six thousand".