897733465200 has 840 divisors, whose sum is σ = 3799241155920. Its totient is φ = 200882073600.

The previous prime is 897733465183. The next prime is 897733465207. The reversal of 897733465200 is 2564337798.

897733465200 is a `hidden beast` number, since 8 + 9 + 7 + 73 + 3 + 46 + 520 + 0 = 666.

It is a super-2 number, since 2×897733465200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897733465207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 41688036 + ... + 41709564.

It is an arithmetic number, because the mean of its divisors is an integer number (4522906138).

Almost surely, 2^897733465200 is an apocalyptic number.

897733465200 is a gapful number since it is divisible by the number (80) 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 897733465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899620577960).

897733465200 is an abundant number, since it is smaller than the sum of its proper divisors (2901507690720).

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

897733465200 is a wasteful number, since it uses less digits than its factorization.

897733465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21589 (or 21563 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 897733465200 in words is "eight hundred ninety-seven billion, seven hundred thirty-three million, four hundred sixty-five thousand, two hundred".