20343117600 has 1440 divisors, whose sum is σ = 88929308160. Its totient is φ = 4478976000.

The previous prime is 20343117563. The next prime is 20343117661. The reversal of 20343117600 is 671134302.

20343117600 is a `hidden beast` number, since 2 + 0 + 3 + 43 + 1 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 496173580 + ... + 496173620.

It is an arithmetic number, because the mean of its divisors is an integer number (61756464).

Almost surely, 2^20343117600 is an apocalyptic number.

20343117600 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 20343117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44464654080).

20343117600 is an abundant number, since it is smaller than the sum of its proper divisors (68586190560).

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

20343117600 is a wasteful number, since it uses less digits than its factorization.

20343117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20343117600 in words is "twenty billion, three hundred forty-three million, one hundred seventeen thousand, six hundred".