22782606981120 has 2304 divisors, whose sum is σ = 98576569728000. Its totient is φ = 4970227433472.

The previous prime is 22782606981119. The next prime is 22782606981163. The reversal of 22782606981120 is 2118960628722.

22782606981120 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 2 + 606 + 9 + 8 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40466441959 + ... + 40466442521.

It is an arithmetic number, because the mean of its divisors is an integer number (42784969500).

Almost surely, 2^{22782606981120} is an apocalyptic number.

22782606981120 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 22782606981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288284864000).

22782606981120 is an abundant number, since it is smaller than the sum of its proper divisors (75793962746880).

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

22782606981120 is a wasteful number, since it uses less digits than its factorization.

22782606981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 22782606981120 in words is "twenty-two trillion, seven hundred eighty-two billion, six hundred six million, nine hundred eighty-one thousand, one hundred twenty".