18090596966400 has 1008 divisors, whose sum is σ = 75076208398464. Its totient is φ = 4078137507840.

The previous prime is 18090596966383. The next prime is 18090596966441. The reversal of 18090596966400 is 466969509081.

18090596966400 is a `hidden beast` number, since 1 + 8 + 0 + 90 + 59 + 6 + 96 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 941865597 + ... + 941884803.

Almost surely, 2^{18090596966400} is an apocalyptic number.

18090596966400 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 18090596966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37538104199232).

18090596966400 is an abundant number, since it is smaller than the sum of its proper divisors (56985611432064).

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

18090596966400 is a wasteful number, since it uses less digits than its factorization.

18090596966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19329 (or 19297 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 18090596966400 in words is "eighteen trillion, ninety billion, five hundred ninety-six million, nine hundred sixty-six thousand, four hundred".