20943350400 has 768 divisors, whose sum is σ = 84994560000. Its totient is φ = 4425891840.

The previous prime is 20943350369. The next prime is 20943350453. The reversal of 20943350400 is 405334902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60009426 + ... + 60009774.

It is an arithmetic number, because the mean of its divisors is an integer number (110670000).

Almost surely, 2^20943350400 is an apocalyptic number.

20943350400 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 20943350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280000).

20943350400 is an abundant number, since it is smaller than the sum of its proper divisors (64051209600).

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

20943350400 is a wasteful number, since it uses less digits than its factorization.

20943350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

It can be divided in two parts, 2094 and 3350400, that multiplied together give a square (7015737600 = 83760²).

The spelling of 20943350400 in words is "twenty billion, nine hundred forty-three million, three hundred fifty thousand, four hundred".