13930428395520 has 2496 divisors, whose sum is σ = 62356117684224. Its totient is φ = 2797747568640.

The previous prime is 13930428395509. The next prime is 13930428395539. The reversal of 13930428395520 is 2559382403931.

13930428395520 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 0 + 4 + 2 + 83 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 37957570377 + ... + 37957570743.

It is an arithmetic number, because the mean of its divisors is an integer number (24982418944).

Almost surely, 2^{13930428395520} is an apocalyptic number.

13930428395520 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 13930428395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31178058842112).

13930428395520 is an abundant number, since it is smaller than the sum of its proper divisors (48425689288704).

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

13930428395520 is a wasteful number, since it uses less digits than its factorization.

13930428395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 13930428395520 in words is "thirteen trillion, nine hundred thirty billion, four hundred twenty-eight million, three hundred ninety-five thousand, five hundred twenty".