997894267905600 has 3024 divisors, whose sum is σ = 4153284837413712. Its totient is φ = 225700258775040.

The previous prime is 997894267905527. The next prime is 997894267905649. The reversal of 997894267905600 is 6509762498799.

997894267905600 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 9 + 42 + 6 + 7 + 9 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 636715189702656 + 361179078202944 = 25233216^2 + 19004712^2 .

It is a super-2 number, since 2×997894267905600² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 997894267905600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1482755226864 + ... + 1482755227536.

It is an arithmetic number, because the mean of its divisors is an integer number (1373440753113).

Almost surely, 2^{997894267905600} is an apocalyptic number.

997894267905600 is a gapful number since it is divisible by the number (90) 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 997894267905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076642418706856).

997894267905600 is an abundant number, since it is smaller than the sum of its proper divisors (3155390569508112).

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

997894267905600 is a wasteful number, since it uses less digits than its factorization.

997894267905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 997894267905600 in words is "nine hundred ninety-seven trillion, eight hundred ninety-four billion, two hundred sixty-seven million, nine hundred five thousand, six hundred".