197461555200 has 1728 divisors, whose sum is σ = 924898927680. Its totient is φ = 39069941760.

The previous prime is 197461555177. The next prime is 197461555201. The reversal of 197461555200 is 2555164791.

It is a happy number.

197461555200 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 615 + 5 + 5 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197461555201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 712857462 + ... + 712857738.

It is an arithmetic number, because the mean of its divisors is an integer number (535242435).

Almost surely, 2^197461555200 is an apocalyptic number.

197461555200 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 197461555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462449463840).

197461555200 is an abundant number, since it is smaller than the sum of its proper divisors (727437372480).

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

197461555200 is a wasteful number, since it uses less digits than its factorization.

197461555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 197461555200 in words is "one hundred ninety-seven billion, four hundred sixty-one million, five hundred fifty-five thousand, two hundred".