13895212072320 has 512 divisors, whose sum is σ = 51165107481600. Its totient is φ = 3561046917120.

The previous prime is 13895212072319. The next prime is 13895212072327. The reversal of 13895212072320 is 2327021259831.

13895212072320 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 521 + 20 + 72 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13895212072327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 47321797 + ... + 47614523.

It is an arithmetic number, because the mean of its divisors is an integer number (99931850550).

Almost surely, 2^{13895212072320} is an apocalyptic number.

13895212072320 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 13895212072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25582553740800).

13895212072320 is an abundant number, since it is smaller than the sum of its proper divisors (37269895409280).

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

13895212072320 is a wasteful number, since it uses less digits than its factorization.

13895212072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292863 (or 292845 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13895212072320 in words is "thirteen trillion, eight hundred ninety-five billion, two hundred twelve million, seventy-two thousand, three hundred twenty".