199401912600 has 384 divisors, whose sum is σ = 683236270080. Its totient is φ = 47706624000.

The previous prime is 199401912599. The next prime is 199401912623. The reversal of 199401912600 is 6219104991.

It is a happy number.

It is a super-2 number, since 2×199401912600² (a number of 23 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 95 ways as a sum of consecutive naturals, for example, 195300090 + ... + 195301110.

It is an arithmetic number, because the mean of its divisors is an integer number (1779261120).

Almost surely, 2^199401912600 is an apocalyptic number.

199401912600 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 199401912600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341618135040).

199401912600 is an abundant number, since it is smaller than the sum of its proper divisors (483834357480).

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

199401912600 is a wasteful number, since it uses less digits than its factorization.

199401912600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 199401912600 in words is "one hundred ninety-nine billion, four hundred one million, nine hundred twelve thousand, six hundred".