22889869385400 has 384 divisors, whose sum is σ = 82106501990400. Its totient is φ = 5854783334400.

The previous prime is 22889869385387. The next prime is 22889869385423. The reversal of 22889869385400 is 458396898822.

22889869385400 is a `hidden beast` number, since 2 + 2 + 8 + 89 + 8 + 69 + 3 + 85 + 400 = 666.

It is a super-2 number, since 2×22889869385400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18311167 + ... + 19521233.

It is an arithmetic number, because the mean of its divisors is an integer number (213819015600).

Almost surely, 2^{22889869385400} is an apocalyptic number.

22889869385400 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 22889869385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41053250995200).

22889869385400 is an abundant number, since it is smaller than the sum of its proper divisors (59216632605000).

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

22889869385400 is a wasteful number, since it uses less digits than its factorization.

22889869385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210236 (or 1210221 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 22889869385400 in words is "twenty-two trillion, eight hundred eighty-nine billion, eight hundred sixty-nine million, three hundred eighty-five thousand, four hundred".