20850776352 has 1008 divisors, whose sum is σ = 80540240760. Its totient is φ = 5267275776.

The previous prime is 20850776341. The next prime is 20850776371. The reversal of 20850776352 is 25367705802.

20850776352 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 0 + 7 + 7 + 635 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20850204816 + 571536 = 144396^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×20850776352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20850776298 and 20850776307.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 563534478 + ... + 563534514.

Almost surely, 2^20850776352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20850776352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40270120380).

20850776352 is an abundant number, since it is smaller than the sum of its proper divisors (59689464408).

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

20850776352 is a wasteful number, since it uses less digits than its factorization.

20850776352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 20850776352 in words is "twenty billion, eight hundred fifty million, seven hundred seventy-six thousand, three hundred fifty-two".