20133414600 has 384 divisors, whose sum is σ = 71759990400. Its totient is φ = 4628275200.

The previous prime is 20133414599. The next prime is 20133414607. The reversal of 20133414600 is 641433102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20133414607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10817670 + ... + 10819530.

It is an arithmetic number, because the mean of its divisors is an integer number (186874975).

Almost surely, 2^20133414600 is an apocalyptic number.

20133414600 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 20133414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35879995200).

20133414600 is an abundant number, since it is smaller than the sum of its proper divisors (51626575800).

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

20133414600 is a wasteful number, since it uses less digits than its factorization.

20133414600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20133414600 its reverse (641433102), we get a palindrome (20774847702).

The spelling of 20133414600 in words is "twenty billion, one hundred thirty-three million, four hundred fourteen thousand, six hundred".