22129735680 has 768 divisors, whose sum is σ = 87178291200. Its totient is φ = 5290721280.

The previous prime is 22129735679. The next prime is 22129735711. The reversal of 22129735680 is 8653792122.

22129735680 is a `hidden beast` number, since 2 + 2 + 1 + 297 + 356 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168929215 + ... + 168929345.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^22129735680 is an apocalyptic number.

22129735680 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 22129735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589145600).

22129735680 is an abundant number, since it is smaller than the sum of its proper divisors (65048555520).

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

22129735680 is a wasteful number, since it uses less digits than its factorization.

22129735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22129735680 in words is "twenty-two billion, one hundred twenty-nine million, seven hundred thirty-five thousand, six hundred eighty".