199533854251872 has 1440 divisors, whose sum is σ = 690437028048768. Its totient is φ = 54619010740224.

The previous prime is 199533854251861. The next prime is 199533854251913. The reversal of 199533854251872 is 278152458335991.

199533854251872 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 3 + 3 + 8 + 542 + 5 + 1 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (653184000) is a multiple of the sum of its prime factors (750).

It is a self number, because there is not a number n which added to its sum of digits gives 199533854251872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 575025516403 + ... + 575025516749.

Almost surely, 2^{199533854251872} is an apocalyptic number.

199533854251872 is a gapful number since it is divisible by the number (12) 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 199533854251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345218514024384).

199533854251872 is an abundant number, since it is smaller than the sum of its proper divisors (490903173796896).

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

199533854251872 is a wasteful number, since it uses less digits than its factorization.

199533854251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 718 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 199533854251872 in words is "one hundred ninety-nine trillion, five hundred thirty-three billion, eight hundred fifty-four million, two hundred fifty-one thousand, eight hundred seventy-two".