22983160253760 has 672 divisors, whose sum is σ = 94321519898112. Its totient is φ = 5022345461760.

The previous prime is 22983160253723. The next prime is 22983160253797. The reversal of 22983160253760 is 6735206138922.

22983160253760 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 316 + 0 + 253 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22983160253723) and next prime (22983160253797).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 22983160253697 and 22983160253706.

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, 1002001012 + ... + 1002023948.

Almost surely, 2^{22983160253760} is an apocalyptic number.

22983160253760 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 22983160253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47160759949056).

22983160253760 is an abundant number, since it is smaller than the sum of its proper divisors (71338359644352).

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

22983160253760 is a wasteful number, since it uses less digits than its factorization.

22983160253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151 (or 25138 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 22983160253760 in words is "twenty-two trillion, nine hundred eighty-three billion, one hundred sixty million, two hundred fifty-three thousand, seven hundred sixty".