20948365152 has 288 divisors, whose sum is σ = 72582531840. Its totient is φ = 5859371520.

The previous prime is 20948365129. The next prime is 20948365153. The reversal of 20948365152 is 25156384902.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20948365098 and 20948365107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20948365153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102549 + ... + 1121387.

It is an arithmetic number, because the mean of its divisors is an integer number (252022680).

Almost surely, 2^20948365152 is an apocalyptic number.

20948365152 is a gapful number since it is divisible by the number (22) 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 20948365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36291265920).

20948365152 is an abundant number, since it is smaller than the sum of its proper divisors (51634166688).

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

20948365152 is a wasteful number, since it uses less digits than its factorization.

20948365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18888 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20948365152 in words is "twenty billion, nine hundred forty-eight million, three hundred sixty-five thousand, one hundred fifty-two".