20405763000 has 1280 divisors, whose sum is σ = 90514195200. Its totient is φ = 4180377600.

The previous prime is 20405762999. The next prime is 20405763011. The reversal of 20405763000 is 36750402.

It is a happy number.

20405763000 is a `hidden beast` number, since 20 + 4 + 0 + 5 + 7 + 630 + 0 + 0 = 666.

It is a super-2 number, since 2×20405763000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 279530964 + ... + 279531036.

It is an arithmetic number, because the mean of its divisors is an integer number (70714215).

Almost surely, 2^20405763000 is an apocalyptic number.

20405763000 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 20405763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257097600).

20405763000 is an abundant number, since it is smaller than the sum of its proper divisors (70108432200).

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

20405763000 is a wasteful number, since it uses less digits than its factorization.

20405763000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 20405763000 in words is "twenty billion, four hundred five million, seven hundred sixty-three thousand".