20730848400 has 300 divisors, whose sum is σ = 76416617332. Its totient is φ = 5378503680.

The previous prime is 20730848387. The next prime is 20730848423. The reversal of 20730848400 is 484803702.

20730848400 is a `hidden beast` number, since 207 + 3 + 0 + 8 + 48 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 856615824 + 19874232576 = 29268^2 + 140976^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1190154 + ... + 1207446.

Almost surely, 2^20730848400 is an apocalyptic number.

20730848400 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 20730848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208308666).

20730848400 is an abundant number, since it is smaller than the sum of its proper divisors (55685768932).

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

20730848400 is a wasteful number, since it uses less digits than its factorization.

20730848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20730848400 in words is "twenty billion, seven hundred thirty million, eight hundred forty-eight thousand, four hundred".