20834142600 has 192 divisors, whose sum is σ = 68481331200. Its totient is φ = 5221601280.

The previous prime is 20834142577. The next prime is 20834142611. The reversal of 20834142600 is 624143802.

It is a super-2 number, since 2×20834142600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13045002 + ... + 13046598.

It is an arithmetic number, because the mean of its divisors is an integer number (356673600).

Almost surely, 2^20834142600 is an apocalyptic number.

20834142600 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 20834142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34240665600).

20834142600 is an abundant number, since it is smaller than the sum of its proper divisors (47647188600).

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

20834142600 is a wasteful number, since it uses less digits than its factorization.

20834142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 20834142600 in words is "twenty billion, eight hundred thirty-four million, one hundred forty-two thousand, six hundred".