20235006792 has 768 divisors, whose sum is σ = 79435468800. Its totient is φ = 4625786880.

The previous prime is 20235006739. The next prime is 20235006817. The reversal of 20235006792 is 29760053202.

20235006792 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 500 + 67 + 92 = 666.

It is a super-3 number, since 3×20235006792³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64648428 + ... + 64648740.

It is an arithmetic number, because the mean of its divisors is an integer number (103431600).

Almost surely, 2^20235006792 is an apocalyptic number.

20235006792 is a gapful number since it is divisible by the number (22) 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 20235006792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39717734400).

20235006792 is an abundant number, since it is smaller than the sum of its proper divisors (59200462008).

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

20235006792 is a wasteful number, since it uses less digits than its factorization.

20235006792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 20235006792 its reverse (29760053202), we get a palindrome (49995059994).

The spelling of 20235006792 in words is "twenty billion, two hundred thirty-five million, six thousand, seven hundred ninety-two".