200978640582720 has 896 divisors, whose sum is σ = 862433821089792. Its totient is φ = 38294028288000.

The previous prime is 200978640582703. The next prime is 200978640582743. The reversal of 200978640582720 is 27285046879002.

200978640582720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200978640582720³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144412432 + ... + 145797488.

It is an arithmetic number, because the mean of its divisors is an integer number (962537746752).

Almost surely, 2^{200978640582720} is an apocalyptic number.

200978640582720 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 200978640582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431216910544896).

200978640582720 is an abundant number, since it is smaller than the sum of its proper divisors (661455180507072).

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

200978640582720 is a wasteful number, since it uses less digits than its factorization.

200978640582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385259 (or 1385249 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 200978640582720 in words is "two hundred trillion, nine hundred seventy-eight billion, six hundred forty million, five hundred eighty-two thousand, seven hundred twenty".