20948457600 has 768 divisors, whose sum is σ = 92279808000. Its totient is φ = 4533719040.

The previous prime is 20948457529. The next prime is 20948457643. The reversal of 20948457600 is 675484902.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11490289 + ... + 11492111.

It is an arithmetic number, because the mean of its divisors is an integer number (120156000).

Almost surely, 2^20948457600 is an apocalyptic number.

20948457600 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 20948457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46139904000).

20948457600 is an abundant number, since it is smaller than the sum of its proper divisors (71331350400).

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

20948457600 is a wasteful number, since it uses less digits than its factorization.

20948457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20948457600 in words is "twenty billion, nine hundred forty-eight million, four hundred fifty-seven thousand, six hundred".