198887270400 has 2880 divisors, whose sum is σ = 990926576640. Its totient is φ = 38220595200.

The previous prime is 198887270377. The next prime is 198887270401. The reversal of 198887270400 is 4072788891.

It is a happy number.

198887270400 is a `hidden beast` number, since 1 + 98 + 8 + 87 + 2 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×198887270400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198887270401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6415718385 + ... + 6415718415.

It is an arithmetic number, because the mean of its divisors is an integer number (344071728).

Almost surely, 2^198887270400 is an apocalyptic number.

198887270400 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 198887270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495463288320).

198887270400 is an abundant number, since it is smaller than the sum of its proper divisors (792039306240).

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

198887270400 is a wasteful number, since it uses less digits than its factorization.

198887270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 198887270400 in words is "one hundred ninety-eight billion, eight hundred eighty-seven million, two hundred seventy thousand, four hundred".