13529738880000 has 3960 divisors, whose sum is σ = 63496805143200. Its totient is φ = 2828722176000.

The previous prime is 13529738879887. The next prime is 13529738880079. The reversal of 13529738880000 is 8883792531.

13529738880000 is a `hidden beast` number, since 1 + 3 + 529 + 7 + 38 + 8 + 80 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 466542719986 + ... + 466542720014.

Almost surely, 2^{13529738880000} is an apocalyptic number.

13529738880000 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 13529738880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31748402571600).

13529738880000 is an abundant number, since it is smaller than the sum of its proper divisors (49967066263200).

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

13529738880000 is an equidigital number, since it uses as much as digits as its factorization.

13529738880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13529738880000 in words is "thirteen trillion, five hundred twenty-nine billion, seven hundred thirty-eight million, eight hundred eighty thousand".