197860118400 has 432 divisors, whose sum is σ = 821283081840. Its totient is φ = 45224847360.

The previous prime is 197860118383. The next prime is 197860118431. The reversal of 197860118400 is 4811068791.

It is a happy number.

197860118400 is a `hidden beast` number, since 1 + 9 + 78 + 60 + 118 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1341097 + ... + 1481303.

It is an arithmetic number, because the mean of its divisors is an integer number (1901118245).

Almost surely, 2^197860118400 is an apocalyptic number.

197860118400 is a gapful number since it is divisible by the number (10) 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 197860118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410641540920).

197860118400 is an abundant number, since it is smaller than the sum of its proper divisors (623422963440).

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

197860118400 is a wasteful number, since it uses less digits than its factorization.

197860118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140251 (or 140224 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

It can be divided in two parts, 1978601 and 18400, that added together give a triangular number (1997001 = T₁₉₉₈).

The spelling of 197860118400 in words is "one hundred ninety-seven billion, eight hundred sixty million, one hundred eighteen thousand, four hundred".