18495870548400 has 1440 divisors, whose sum is σ = 82522137709440. Its totient is φ = 3737814958080.

The previous prime is 18495870548347. The next prime is 18495870548461. The reversal of 18495870548400 is 484507859481.

18495870548400 is a `hidden beast` number, since 1 + 8 + 4 + 9 + 5 + 87 + 0 + 548 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 459653082 + ... + 459693318.

It is an arithmetic number, because the mean of its divisors is an integer number (57307040076).

Almost surely, 2^{18495870548400} is an apocalyptic number.

18495870548400 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 18495870548400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261068854720).

18495870548400 is an abundant number, since it is smaller than the sum of its proper divisors (64026267161040).

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

18495870548400 is a wasteful number, since it uses less digits than its factorization.

18495870548400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40351 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 18495870548400 in words is "eighteen trillion, four hundred ninety-five billion, eight hundred seventy million, five hundred forty-eight thousand, four hundred".