21003958800 has 480 divisors, whose sum is σ = 85111695360. Its totient is φ = 4869849600.

The previous prime is 21003958783. The next prime is 21003958819. The reversal of 21003958800 is 885930012.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2728557 + ... + 2736243.

It is an arithmetic number, because the mean of its divisors is an integer number (177316032).

Almost surely, 2^21003958800 is an apocalyptic number.

21003958800 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 21003958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42555847680).

21003958800 is an abundant number, since it is smaller than the sum of its proper divisors (64107736560).

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

21003958800 is a wasteful number, since it uses less digits than its factorization.

21003958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21003958800 in words is "twenty-one billion, three million, nine hundred fifty-eight thousand, eight hundred".