199861955583400 has 384 divisors, whose sum is σ = 524117815920000. Its totient is φ = 70262443520000.

The previous prime is 199861955583391. The next prime is 199861955583443. The reversal of 199861955583400 is 4385559168991.

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, 1953309042 + ... + 1953411358.

It is an arithmetic number, because the mean of its divisors is an integer number (1364890145625).

Almost surely, 2^{199861955583400} is an apocalyptic number.

199861955583400 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 199861955583400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262058907960000).

199861955583400 is an abundant number, since it is smaller than the sum of its proper divisors (324255860336600).

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

199861955583400 is a wasteful number, since it uses less digits than its factorization.

199861955583400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102653 (or 102644 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 73.

The spelling of 199861955583400 in words is "one hundred ninety-nine trillion, eight hundred sixty-one billion, nine hundred fifty-five million, five hundred eighty-three thousand, four hundred".