23121778680 has 1152 divisors, whose sum is σ = 107358451200. Its totient is φ = 4187842560.

The previous prime is 23121778679. The next prime is 23121778681. The reversal of 23121778680 is 8687712132.

It is an interprime number because it is at equal distance from previous prime (23121778679) and next prime (23121778681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121778681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75315087 + ... + 75315393.

It is an arithmetic number, because the mean of its divisors is an integer number (93193100).

Almost surely, 2^23121778680 is an apocalyptic number.

23121778680 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 23121778680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679225600).

23121778680 is an abundant number, since it is smaller than the sum of its proper divisors (84236672520).

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

23121778680 is a wasteful number, since it uses less digits than its factorization.

23121778680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 23121778680 in words is "twenty-three billion, one hundred twenty-one million, seven hundred seventy-eight thousand, six hundred eighty".