22661016400 has 240 divisors, whose sum is σ = 60578979840. Its totient is φ = 8077708800.

The previous prime is 22661016361. The next prime is 22661016401. The reversal of 22661016400 is 461016622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661016401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 59791411 + ... + 59791789.

It is an arithmetic number, because the mean of its divisors is an integer number (252412416).

Almost surely, 2^22661016400 is an apocalyptic number.

22661016400 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 22661016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30289489920).

22661016400 is an abundant number, since it is smaller than the sum of its proper divisors (37917963440).

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

22661016400 is a wasteful number, since it uses less digits than its factorization.

22661016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 22661016400 in words is "twenty-two billion, six hundred sixty-one million, sixteen thousand, four hundred".