23578109810640 has 3840 divisors, whose sum is σ = 114783693373440. Its totient is φ = 4353564672000.

The previous prime is 23578109810603. The next prime is 23578109810699. The reversal of 23578109810640 is 4601890187532.

23578109810640 is a `hidden beast` number, since 2 + 3 + 578 + 1 + 0 + 9 + 8 + 1 + 0 + 64 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 575075849020 + ... + 575075849060.

It is an arithmetic number, because the mean of its divisors is an integer number (29891586816).

It is a 1-persistent number, because it is pandigital, but 2⋅23578109810640 = 47156219621280 is not.

Almost surely, 2^{23578109810640} is an apocalyptic number.

23578109810640 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 23578109810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57391846686720).

23578109810640 is an abundant number, since it is smaller than the sum of its proper divisors (91205583562800).

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

23578109810640 is a wasteful number, since it uses less digits than its factorization.

23578109810640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 23578109810640 in words is "twenty-three trillion, five hundred seventy-eight billion, one hundred nine million, eight hundred ten thousand, six hundred forty".