20848262400 has 648 divisors, whose sum is σ = 88172273280. Its totient is φ = 4598415360.

The previous prime is 20848262389. The next prime is 20848262401. The reversal of 20848262400 is 426284802.

It is a happy number.

20848262400 is a `hidden beast` number, since 20 + 8 + 4 + 8 + 2 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20848262401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11691909 + ... + 11693691.

Almost surely, 2^20848262400 is an apocalyptic number.

20848262400 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 20848262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44086136640).

20848262400 is an abundant number, since it is smaller than the sum of its proper divisors (67324010880).

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

20848262400 is a wasteful number, since it uses less digits than its factorization.

20848262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20848262400 in words is "twenty billion, eight hundred forty-eight million, two hundred sixty-two thousand, four hundred".