199901829972 has 48 divisors (see below), whose sum is σ = 509392340352. Its totient is φ = 60641938560.

The previous prime is 199901829971. The next prime is 199901830013. The reversal of 199901829972 is 279928109991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199901829971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9013023 + ... + 9035174.

It is an arithmetic number, because the mean of its divisors is an integer number (10612340424).

Almost surely, 2^199901829972 is an apocalyptic number.

199901829972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199901829972 is an abundant number, since it is smaller than the sum of its proper divisors (309490510380).

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

199901829972 is a wasteful number, since it uses less digits than its factorization.

199901829972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048288 (or 18048286 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 66.

The spelling of 199901829972 in words is "one hundred ninety-nine billion, nine hundred one million, eight hundred twenty-nine thousand, nine hundred seventy-two".