199927187970048 has 2304 divisors, whose sum is σ = 758270549836800. Its totient is φ = 49249784954880.

The previous prime is 199927187970019. The next prime is 199927187970131. The reversal of 199927187970048 is 840079781729991.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×199927187970048² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 535997822790 + ... + 535997823162.

It is an arithmetic number, because the mean of its divisors is an integer number (329110481700).

Almost surely, 2^{199927187970048} is an apocalyptic number.

199927187970048 is a gapful number since it is divisible by the number (18) 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 199927187970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379135274918400).

199927187970048 is an abundant number, since it is smaller than the sum of its proper divisors (558343361866752).

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

199927187970048 is a wasteful number, since it uses less digits than its factorization.

199927187970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 81.

The spelling of 199927187970048 in words is "one hundred ninety-nine trillion, nine hundred twenty-seven billion, one hundred eighty-seven million, nine hundred seventy thousand, forty-eight".