23082273527040 has 2160 divisors, whose sum is σ = 102711172088448. Its totient is φ = 4846323695616.

The previous prime is 23082273527029. The next prime is 23082273527077. The reversal of 23082273527040 is 4072537228032.

23082273527040 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 227 + 352 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×23082273527040² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 37654605774 + ... + 37654606386.

Almost surely, 2^{23082273527040} is an apocalyptic number.

23082273527040 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 23082273527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355586044224).

23082273527040 is an abundant number, since it is smaller than the sum of its proper divisors (79628898561408).

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

23082273527040 is a wasteful number, since it uses less digits than its factorization.

23082273527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 23082273527040 in words is "twenty-three trillion, eighty-two billion, two hundred seventy-three million, five hundred twenty-seven thousand, forty".