13690065312000 has 4320 divisors, whose sum is σ = 66503959441920. Its totient is φ = 2763694080000.

The previous prime is 13690065311983. The next prime is 13690065312013. The reversal of 13690065312000 is 21356009631.

13690065312000 is a `hidden beast` number, since 1 + 36 + 90 + 0 + 6 + 531 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 57280607881 + ... + 57280608119.

It is an arithmetic number, because the mean of its divisors is an integer number (15394435056).

Almost surely, 2^{13690065312000} is an apocalyptic number.

13690065312000 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 13690065312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251979720960).

13690065312000 is an abundant number, since it is smaller than the sum of its proper divisors (52813894129920).

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

13690065312000 is a wasteful number, since it uses less digits than its factorization.

13690065312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13690065312000 in words is "thirteen trillion, six hundred ninety billion, sixty-five million, three hundred twelve thousand".