897669352857600 has 588 divisors, whose sum is σ = 3337599924542706. Its totient is φ = 239378454282240.

The previous prime is 897669352857457. The next prime is 897669352857647. The reversal of 897669352857600 is 6758253966798.

897669352857600 is a `hidden beast` number, since 8 + 9 + 7 + 6 + 6 + 9 + 35 + 2 + 8 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 796561662283776 + 101107690573824 = 28223424^2 + 10055232^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 897669352857600.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146292924 + ... + 152305476.

Almost surely, 2^{897669352857600} is an apocalyptic number.

897669352857600 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 897669352857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668799962271353).

897669352857600 is an abundant number, since it is smaller than the sum of its proper divisors (2439930571685106).

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

897669352857600 is an frugal number, since it uses more digits than its factorization.

897669352857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012607 (or 6012563 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 897669352857600 in words is "eight hundred ninety-seven trillion, six hundred sixty-nine billion, three hundred fifty-two million, eight hundred fifty-seven thousand, six hundred".