20263561920 has 672 divisors, whose sum is σ = 82687363200. Its totient is φ = 4551966720.

The previous prime is 20263561909. The next prime is 20263561931. The reversal of 20263561920 is 2916536202.

20263561920 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 3 + 561 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20263561909) and next prime (20263561931).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20263561920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72112180 + ... + 72112460.

Almost surely, 2^20263561920 is an apocalyptic number.

20263561920 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 20263561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41343681600).

20263561920 is an abundant number, since it is smaller than the sum of its proper divisors (62423801280).

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

20263561920 is a wasteful number, since it uses less digits than its factorization.

20263561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20263561920 in words is "twenty billion, two hundred sixty-three million, five hundred sixty-one thousand, nine hundred twenty".