20315981952 has 448 divisors, whose sum is σ = 73045627200. Its totient is φ = 5495703552.

The previous prime is 20315981911. The next prime is 20315981957. The reversal of 20315981952 is 25918951302.

20315981952 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 598 + 1 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 20315981898 and 20315981907.

It is not an unprimeable number, because it can be changed into a prime (20315981957) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12409678 + ... + 12411314.

It is an arithmetic number, because the mean of its divisors is an integer number (163048275).

Almost surely, 2^20315981952 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 20315981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36522813600).

20315981952 is an abundant number, since it is smaller than the sum of its proper divisors (52729645248).

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

20315981952 is an equidigital number, since it uses as much as digits as its factorization.

20315981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 20315981952 in words is "twenty billion, three hundred fifteen million, nine hundred eighty-one thousand, nine hundred fifty-two".