13930230827520 has 480 divisors, whose sum is σ = 55157197784832. Its totient is φ = 3182848966656.

The previous prime is 13930230827503. The next prime is 13930230827531. The reversal of 13930230827520 is 2572803203931.

13930230827520 is a `hidden beast` number, since 1 + 3 + 93 + 0 + 2 + 30 + 8 + 2 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 468180964 + ... + 468210716.

Almost surely, 2^{13930230827520} is an apocalyptic number.

13930230827520 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 13930230827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578598892416).

13930230827520 is an abundant number, since it is smaller than the sum of its proper divisors (41226966957312).

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

13930230827520 is a wasteful number, since it uses less digits than its factorization.

13930230827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32692 (or 32673 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13930230827520 in words is "thirteen trillion, nine hundred thirty billion, two hundred thirty million, eight hundred twenty-seven thousand, five hundred twenty".