199825008797952 has 288 divisors, whose sum is σ = 622056741936000. Its totient is φ = 63098768793600.

The previous prime is 199825008797903. The next prime is 199825008797987. The reversal of 199825008797952 is 259797800528991.

199825008797952 is a `hidden beast` number, since 19 + 9 + 8 + 2 + 500 + 8 + 7 + 9 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×199825008797952² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2771116074 + ... + 2771188182.

Almost surely, 2^{199825008797952} is an apocalyptic number.

199825008797952 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 199825008797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311028370968000).

199825008797952 is an abundant number, since it is smaller than the sum of its proper divisors (422231733138048).

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

199825008797952 is a wasteful number, since it uses less digits than its factorization.

199825008797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93254 (or 93234 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 81.

The spelling of 199825008797952 in words is "one hundred ninety-nine trillion, eight hundred twenty-five billion, eight million, seven hundred ninety-seven thousand, nine hundred fifty-two".