20935329888200 has 1536 divisors, whose sum is σ = 67195699200000. Its totient is φ = 5881865932800.

The previous prime is 20935329888167. The next prime is 20935329888223. The reversal of 20935329888200 is 288892353902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 20935329888200.

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, 49964987591 + ... + 49964988009.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200000).

Almost surely, 2^{20935329888200} is an apocalyptic number.

20935329888200 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 20935329888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33597849600000).

20935329888200 is an abundant number, since it is smaller than the sum of its proper divisors (46260369311800).

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

20935329888200 is a wasteful number, since it uses less digits than its factorization.

20935329888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 20935329888200 in words is "twenty trillion, nine hundred thirty-five billion, three hundred twenty-nine million, eight hundred eighty-eight thousand, two hundred".