18896501320320 has 768 divisors, whose sum is σ = 68277062246400. Its totient is φ = 4437832089600.

The previous prime is 18896501320271. The next prime is 18896501320331. The reversal of 18896501320320 is 2302310569881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18896501320320.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714167251 + ... + 714193709.

It is an arithmetic number, because the mean of its divisors is an integer number (88902424800).

Almost surely, 2^{18896501320320} is an apocalyptic number.

18896501320320 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 18896501320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34138531123200).

18896501320320 is an abundant number, since it is smaller than the sum of its proper divisors (49380560926080).

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

18896501320320 is a wasteful number, since it uses less digits than its factorization.

18896501320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26609 (or 26584 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 18896501320320 in words is "eighteen trillion, eight hundred ninety-six billion, five hundred one million, three hundred twenty thousand, three hundred twenty".