897291682560 has 1728 divisors, whose sum is σ = 4175497589760. Its totient is φ = 178044272640.

The previous prime is 897291682541. The next prime is 897291682607. The reversal of 897291682560 is 65286192798.

897291682560 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 9 + 1 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 695035515 + ... + 695036805.

It is an arithmetic number, because the mean of its divisors is an integer number (2416375920).

Almost surely, 2^897291682560 is an apocalyptic number.

897291682560 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 897291682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087748794880).

897291682560 is an abundant number, since it is smaller than the sum of its proper divisors (3278205907200).

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

897291682560 is a wasteful number, since it uses less digits than its factorization.

897291682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 897291682560 in words is "eight hundred ninety-seven billion, two hundred ninety-one million, six hundred eighty-two thousand, five hundred sixty".