23052768640 has 128 divisors (see below), whose sum is σ = 61107294240. Its totient is φ = 8245248000.

The previous prime is 23052768631. The next prime is 23052768649. The reversal of 23052768640 is 4686725032.

It is an interprime number because it is at equal distance from previous prime (23052768631) and next prime (23052768649).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×23052768640³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23052768649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402600 + ... + 456280.

Almost surely, 2^23052768640 is an apocalyptic number.

23052768640 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 23052768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30553647120).

23052768640 is an abundant number, since it is smaller than the sum of its proper divisors (38054525600).

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

23052768640 is a wasteful number, since it uses less digits than its factorization.

23052768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53772 (or 53760 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 23052768640 in words is "twenty-three billion, fifty-two million, seven hundred sixty-eight thousand, six hundred forty".