897826129200 has 4800 divisors, whose sum is σ = 4800972718080. Its totient is φ = 154524672000.

The previous prime is 897826129171. The next prime is 897826129217. The reversal of 897826129200 is 2921628798.

897826129200 is a `hidden beast` number, since 8 + 97 + 8 + 261 + 292 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 19102683577 + ... + 19102683623.

Almost surely, 2^897826129200 is an apocalyptic number.

897826129200 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 897826129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400486359040).

897826129200 is an abundant number, since it is smaller than the sum of its proper divisors (3903146588880).

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

897826129200 is a wasteful number, since it uses less digits than its factorization.

897826129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 897826129200 in words is "eight hundred ninety-seven billion, eight hundred twenty-six million, one hundred twenty-nine thousand, two hundred".