20987563248 has 240 divisors, whose sum is σ = 65669011200. Its totient is φ = 6218311680.

The previous prime is 20987563237. The next prime is 20987563277. The reversal of 20987563248 is 84236578902.

It is a super-2 number, since 2×20987563248² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20987563194 and 20987563203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22836933 + ... + 22837851.

It is an arithmetic number, because the mean of its divisors is an integer number (273620880).

Almost surely, 2^20987563248 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 20987563248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32834505600).

20987563248 is an abundant number, since it is smaller than the sum of its proper divisors (44681447952).

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

20987563248 is a wasteful number, since it uses less digits than its factorization.

20987563248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20987563248 in words is "twenty billion, nine hundred eighty-seven million, five hundred sixty-three thousand, two hundred forty-eight".