200929196160 has 2688 divisors, whose sum is σ = 988283255040. Its totient is φ = 38459473920.

The previous prime is 200929196119. The next prime is 200929196173. The reversal of 200929196160 is 61691929002.

200929196160 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 29 + 1 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4275089257 + ... + 4275089303.

Almost surely, 2^200929196160 is an apocalyptic number.

200929196160 is a gapful number since it is divisible by the number (20) 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 200929196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494141627520).

200929196160 is an abundant number, since it is smaller than the sum of its proper divisors (787354058880).

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

200929196160 is a wasteful number, since it uses less digits than its factorization.

200929196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 200929196160 in words is "two hundred billion, nine hundred twenty-nine million, one hundred ninety-six thousand, one hundred sixty".