20949957600 has 288 divisors, whose sum is σ = 80115122304. Its totient is φ = 4688025600.

The previous prime is 20949957569. The next prime is 20949957601. The reversal of 20949957600 is 675994902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949957601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312679 + ... + 373721.

It is an arithmetic number, because the mean of its divisors is an integer number (278177508).

Almost surely, 2^20949957600 is an apocalyptic number.

20949957600 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 20949957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057561152).

20949957600 is an abundant number, since it is smaller than the sum of its proper divisors (59165164704).

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

20949957600 is a wasteful number, since it uses less digits than its factorization.

20949957600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61090 (or 61077 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 20949957600 in words is "twenty billion, nine hundred forty-nine million, nine hundred fifty-seven thousand, six hundred".