198876157200 has 960 divisors, whose sum is σ = 837595914240. Its totient is φ = 44425843200.

The previous prime is 198876157171. The next prime is 198876157201. The reversal of 198876157200 is 2751678891.

198876157200 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 7 + 61 + 572 + 0 + 0 = 666.

It is a super-2 number, since 2×198876157200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (198876157201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287808855 + ... + 287809545.

It is an arithmetic number, because the mean of its divisors is an integer number (872495744).

Almost surely, 2^198876157200 is an apocalyptic number.

198876157200 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 198876157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418797957120).

198876157200 is an abundant number, since it is smaller than the sum of its proper divisors (638719757040).

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

198876157200 is an equidigital number, since it uses as much as digits as its factorization.

198876157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 198876157200 in words is "one hundred ninety-eight billion, eight hundred seventy-six million, one hundred fifty-seven thousand, two hundred".