199045774080 has 432 divisors, whose sum is σ = 697011194880. Its totient is φ = 52441546752.

The previous prime is 199045774073. The next prime is 199045774091. The reversal of 199045774080 is 80477540991.

199045774080 is a `hidden beast` number, since 199 + 0 + 45 + 7 + 7 + 408 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519701569 + ... + 519701951.

It is an arithmetic number, because the mean of its divisors is an integer number (1613451840).

Almost surely, 2^199045774080 is an apocalyptic number.

199045774080 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 199045774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348505597440).

199045774080 is an abundant number, since it is smaller than the sum of its proper divisors (497965420800).

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

199045774080 is a wasteful number, since it uses less digits than its factorization.

199045774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 199045774080 in words is "one hundred ninety-nine billion, forty-five million, seven hundred seventy-four thousand, eighty".