23058800640 has 336 divisors, whose sum is σ = 81150110496. Its totient is φ = 6055526400.

The previous prime is 23058800621. The next prime is 23058800659. The reversal of 23058800640 is 4600885032.

23058800640 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 8 + 8 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (23058800621) and next prime (23058800659).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23058800595 and 23058800604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26173000 + ... + 26173880.

It is an arithmetic number, because the mean of its divisors is an integer number (241518186).

Almost surely, 2^23058800640 is an apocalyptic number.

23058800640 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 23058800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40575055248).

23058800640 is an abundant number, since it is smaller than the sum of its proper divisors (58091309856).

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

23058800640 is an equidigital number, since it uses as much as digits as its factorization.

23058800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23058800640 in words is "twenty-three billion, fifty-eight million, eight hundred thousand, six hundred forty".