199895351040 has 1800 divisors, whose sum is σ = 922749025968. Its totient is φ = 40967700480.

The previous prime is 199895351039. The next prime is 199895351053. The reversal of 199895351040 is 40153598991.

199895351040 is a `hidden beast` number, since 1 + 9 + 9 + 89 + 5 + 3 + 510 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2738292444 + ... + 2738292516.

Almost surely, 2^199895351040 is an apocalyptic number.

199895351040 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 199895351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461374512984).

199895351040 is an abundant number, since it is smaller than the sum of its proper divisors (722853674928).

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

199895351040 is an frugal number, since it uses more digits than its factorization.

199895351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 199895351040 in words is "one hundred ninety-nine billion, eight hundred ninety-five million, three hundred fifty-one thousand, forty".