897142291200 has 648 divisors, whose sum is σ = 3260189574096. Its totient is φ = 235339776000.

The previous prime is 897142291163. The next prime is 897142291237. The reversal of 897142291200 is 2192241798.

It is an interprime number because it is at equal distance from previous prime (897142291163) and next prime (897142291237).

It is a super-3 number, since 3×897142291200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1178898820 + ... + 1178899580.

Almost surely, 2^897142291200 is an apocalyptic number.

897142291200 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 897142291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630094787048).

897142291200 is an abundant number, since it is smaller than the sum of its proper divisors (2363047282896).

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

897142291200 is a wasteful number, since it uses less digits than its factorization.

897142291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 897142291200 in words is "eight hundred ninety-seven billion, one hundred forty-two million, two hundred ninety-one thousand, two hundred".