200890621229760 has 3584 divisors, whose sum is σ = 958911528960000. Its totient is φ = 38334480629760.

The previous prime is 200890621229731. The next prime is 200890621229777. The reversal of 200890621229760 is 67922126098002.

200890621229760 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 9 + 0 + 621 + 2 + 2 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 200890621229697 and 200890621229706.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 75551191311 + ... + 75551193969.

It is an arithmetic number, because the mean of its divisors is an integer number (267553440000).

Almost surely, 2^{200890621229760} is an apocalyptic number.

200890621229760 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 200890621229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479455764480000).

200890621229760 is an abundant number, since it is smaller than the sum of its proper divisors (758020907730240).

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

200890621229760 is a wasteful number, since it uses less digits than its factorization.

200890621229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 200890621229760 in words is "two hundred trillion, eight hundred ninety billion, six hundred twenty-one million, two hundred twenty-nine thousand, seven hundred sixty".