22010949698400 has 1152 divisors, whose sum is σ = 86893488460800. Its totient is φ = 5344911360000.

The previous prime is 22010949698399. The next prime is 22010949698489. The reversal of 22010949698400 is 489694901022.

22010949698400 is a `hidden beast` number, since 2 + 2 + 0 + 109 + 49 + 6 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9778297275 + ... + 9778299525.

It is an arithmetic number, because the mean of its divisors is an integer number (75428375400).

Almost surely, 2^{22010949698400} is an apocalyptic number.

22010949698400 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 22010949698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43446744230400).

22010949698400 is an abundant number, since it is smaller than the sum of its proper divisors (64882538762400).

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

22010949698400 is a wasteful number, since it uses less digits than its factorization.

22010949698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22010949698400 in words is "twenty-two trillion, ten billion, nine hundred forty-nine million, six hundred ninety-eight thousand, four hundred".