200999978635104 has 576 divisors, whose sum is σ = 648545217868800. Its totient is φ = 60516959247360.

The previous prime is 200999978635103. The next prime is 200999978635117. The reversal of 200999978635104 is 401536879999002.

200999978635104 is a `hidden beast` number, since 20 + 0 + 9 + 9 + 9 + 9 + 7 + 86 + 3 + 510 + 4 = 666.

It is a super-2 number, since 2×200999978635104² (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 (200999978635103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25693461337 + ... + 25693469159.

It is an arithmetic number, because the mean of its divisors is an integer number (1125946558800).

It is a 1-persistent number, because it is pandigital, but 2⋅200999978635104 = 401999957270208 is not.

Almost surely, 2^{200999978635104} is an apocalyptic number.

200999978635104 is a gapful number since it is divisible by the number (24) 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 200999978635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324272608934400).

200999978635104 is an abundant number, since it is smaller than the sum of its proper divisors (447545239233696).

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

200999978635104 is a wasteful number, since it uses less digits than its factorization.

200999978635104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 200999978635104 in words is "two hundred trillion, nine hundred ninety-nine billion, nine hundred seventy-eight million, six hundred thirty-five thousand, one hundred four".