2793168230400 has 720 divisors, whose sum is σ = 10598269401720. Its totient is φ = 726633676800.

The previous prime is 2793168230387. The next prime is 2793168230429. The reversal of 2793168230400 is 40328613972.

2793168230400 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 1 + 6 + 8 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 170026987 + ... + 170043413.

Almost surely, 2^{2793168230400} is an apocalyptic number.

2793168230400 is a gapful number since it is divisible by the number (20) 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 2793168230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299134700860).

2793168230400 is an abundant number, since it is smaller than the sum of its proper divisors (7805101171320).

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

2793168230400 is a wasteful number, since it uses less digits than its factorization.

2793168230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16512 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2793168230400 in words is "two trillion, seven hundred ninety-three billion, one hundred sixty-eight million, two hundred thirty thousand, four hundred".