20763358560 has 1152 divisors, whose sum is σ = 91299446784. Its totient is φ = 4352071680.

The previous prime is 20763358559. The next prime is 20763358597. The reversal of 20763358560 is 6585336702.

20763358560 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 3 + 3 + 585 + 60 = 666.

It is a super-2 number, since 2×20763358560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 194050027 + ... + 194050133.

It is an arithmetic number, because the mean of its divisors is an integer number (79252992).

Almost surely, 2^20763358560 is an apocalyptic number.

20763358560 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 20763358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45649723392).

20763358560 is an abundant number, since it is smaller than the sum of its proper divisors (70536088224).

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

20763358560 is a wasteful number, since it uses less digits than its factorization.

20763358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 20763358560 in words is "twenty billion, seven hundred sixty-three million, three hundred fifty-eight thousand, five hundred sixty".