200024878032 has 480 divisors, whose sum is σ = 713573971200. Its totient is φ = 53301362688.

The previous prime is 200024878003. The next prime is 200024878073. The reversal of 200024878032 is 230878420002.

200024878032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40661269 + ... + 40666187.

It is an arithmetic number, because the mean of its divisors is an integer number (1486612440).

Almost surely, 2^200024878032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200024878032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356786985600).

200024878032 is an abundant number, since it is smaller than the sum of its proper divisors (513549093168).

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

200024878032 is a wasteful number, since it uses less digits than its factorization.

200024878032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 200024878032 in words is "two hundred billion, twenty-four million, eight hundred seventy-eight thousand, thirty-two".