23880225358080 has 1728 divisors, whose sum is σ = 106562765272320. Its totient is φ = 5019351515136.

The previous prime is 23880225358079. The next prime is 23880225358081. The reversal of 23880225358080 is 8085352208832.

23880225358080 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 0 + 2 + 2 + 53 + 580 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23880225358079) and next prime (23880225358081).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×23880225358080³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23880225358081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6230163844 + ... + 6230167676.

It is an arithmetic number, because the mean of its divisors is an integer number (61668266940).

Almost surely, 2^{23880225358080} is an apocalyptic number.

23880225358080 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 23880225358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53281382636160).

23880225358080 is an abundant number, since it is smaller than the sum of its proper divisors (82682539914240).

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

23880225358080 is a wasteful number, since it uses less digits than its factorization.

23880225358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 23880225358080 in words is "twenty-three trillion, eight hundred eighty billion, two hundred twenty-five million, three hundred fifty-eight thousand, eighty".