13672162416000 has 2048 divisors, whose sum is σ = 54323170836480. Its totient is φ = 3004170240000.

The previous prime is 13672162415993. The next prime is 13672162416037. The reversal of 13672162416000 is 61426127631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13672162416000.

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 255 ways as a sum of consecutive naturals, for example, 35697551809 + ... + 35697552191.

It is an arithmetic number, because the mean of its divisors is an integer number (26524985760).

Almost surely, 2^{13672162416000} is an apocalyptic number.

13672162416000 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 13672162416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27161585418240).

13672162416000 is an abundant number, since it is smaller than the sum of its proper divisors (40651008420480).

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

13672162416000 is a wasteful number, since it uses less digits than its factorization.

13672162416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13672162416000 in words is "thirteen trillion, six hundred seventy-two billion, one hundred sixty-two million, four hundred sixteen thousand".