18965548260400 has 480 divisors, whose sum is σ = 55050439403520. Its totient is φ = 6138665533440.

The previous prime is 18965548260389. The next prime is 18965548260403. The reversal of 18965548260400 is 406284556981.

It is a happy number.

It is a super-2 number, since 2×18965548260400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18965548260403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1846149664 + ... + 1846159936.

It is an arithmetic number, because the mean of its divisors is an integer number (114688415424).

Almost surely, 2^{18965548260400} is an apocalyptic number.

18965548260400 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 18965548260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525219701760).

18965548260400 is an abundant number, since it is smaller than the sum of its proper divisors (36084891143120).

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

18965548260400 is a wasteful number, since it uses less digits than its factorization.

18965548260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 18965548260400 in words is "eighteen trillion, nine hundred sixty-five billion, five hundred forty-eight million, two hundred sixty thousand, four hundred".