199952772090 has 256 divisors, whose sum is σ = 540836352000. Its totient is φ = 47015424000.

The previous prime is 199952772079. The next prime is 199952772137. The reversal of 199952772090 is 90277259991.

It is a super-2 number, since 2×199952772090² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 556971331 + ... + 556971689.

It is an arithmetic number, because the mean of its divisors is an integer number (2112642000).

Almost surely, 2^199952772090 is an apocalyptic number.

199952772090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199952772090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270418176000).

199952772090 is an abundant number, since it is smaller than the sum of its proper divisors (340883579910).

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

199952772090 is a wasteful number, since it uses less digits than its factorization.

199952772090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 6429780, while the sum is 60.

The spelling of 199952772090 in words is "one hundred ninety-nine billion, nine hundred fifty-two million, seven hundred seventy-two thousand, ninety".