20829211901334 has 80 divisors (see below), whose sum is σ = 49456673204400. Its totient is φ = 6529584047616.

The previous prime is 20829211901269. The next prime is 20829211901369. The reversal of 20829211901334 is 43310911292802.

20829211901334 is a `hidden beast` number, since 20 + 8 + 292 + 1 + 1 + 9 + 0 + 1 + 334 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20829211901334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616137 + ... + 6483675.

It is an arithmetic number, because the mean of its divisors is an integer number (618208415055).

Almost surely, 2^{20829211901334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20829211901334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24728336602200).

20829211901334 is an abundant number, since it is smaller than the sum of its proper divisors (28627461303066).

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

20829211901334 is a wasteful number, since it uses less digits than its factorization.

20829211901334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868859 (or 5868850 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20829211901334 in words is "twenty trillion, eight hundred twenty-nine billion, two hundred eleven million, nine hundred one thousand, three hundred thirty-four".