22135734566400 has 1920 divisors, whose sum is σ = 92718785617920. Its totient is φ = 4530786140160.

The previous prime is 22135734566399. The next prime is 22135734566411. The reversal of 22135734566400 is 466543753122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22135734566400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26896396389 + ... + 26896397211.

It is an arithmetic number, because the mean of its divisors is an integer number (48291034176).

Almost surely, 2^{22135734566400} is an apocalyptic number.

22135734566400 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 22135734566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46359392808960).

22135734566400 is an abundant number, since it is smaller than the sum of its proper divisors (70583051051520).

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

22135734566400 is a wasteful number, since it uses less digits than its factorization.

22135734566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 22135734566400 in words is "twenty-two trillion, one hundred thirty-five billion, seven hundred thirty-four million, five hundred sixty-six thousand, four hundred".