20206262466000 has 1920 divisors, whose sum is σ = 79756135280640. Its totient is φ = 4736212992000.

The previous prime is 20206262465999. The next prime is 20206262466017. The reversal of 20206262466000 is 66426260202.

It is a happy number.

20206262466000 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 6 + 2 + 6 + 2 + 46 + 600 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88236953886 + ... + 88236954114.

It is an arithmetic number, because the mean of its divisors is an integer number (41539653792).

Almost surely, 2^{20206262466000} is an apocalyptic number.

20206262466000 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 20206262466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39878067640320).

20206262466000 is an abundant number, since it is smaller than the sum of its proper divisors (59549872814640).

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

20206262466000 is a wasteful number, since it uses less digits than its factorization.

20206262466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20206262466000 in words is "twenty trillion, two hundred six billion, two hundred sixty-two million, four hundred sixty-six thousand".