199933413750 has 960 divisors, whose sum is σ = 695927232000. Its totient is φ = 42865200000.

The previous prime is 199933413727. The next prime is 199933413773. The reversal of 199933413750 is 57314339991.

It is a happy number.

199933413750 is a `hidden beast` number, since 1 + 99 + 93 + 3 + 413 + 7 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (199933413727) and next prime (199933413773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1979538700 + ... + 1979538800.

It is an arithmetic number, because the mean of its divisors is an integer number (724924200).

Almost surely, 2^199933413750 is an apocalyptic number.

199933413750 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 199933413750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347963616000).

199933413750 is an abundant number, since it is smaller than the sum of its proper divisors (495993818250).

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

199933413750 is an equidigital number, since it uses as much as digits as its factorization.

199933413750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 199933413750 in words is "one hundred ninety-nine billion, nine hundred thirty-three million, four hundred thirteen thousand, seven hundred fifty".