199951455686400 has 3888 divisors, whose sum is σ = 858487164138240. Its totient is φ = 43898742374400.

The previous prime is 199951455686371. The next prime is 199951455686407. The reversal of 199951455686400 is 4686554159991.

199951455686400 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 5 + 1 + 4 + 556 + 8 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×199951455686400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199951455686407) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1941276268749 + ... + 1941276268851.

Almost surely, 2^{199951455686400} is an apocalyptic number.

199951455686400 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 199951455686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429243582069120).

199951455686400 is an abundant number, since it is smaller than the sum of its proper divisors (658535708451840).

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

199951455686400 is a wasteful number, since it uses less digits than its factorization.

199951455686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 199951455686400 in words is "one hundred ninety-nine trillion, nine hundred fifty-one billion, four hundred fifty-five million, six hundred eighty-six thousand, four hundred".