23796077760 has 1344 divisors, whose sum is σ = 109837728000. Its totient is φ = 4682022912.

The previous prime is 23796077759. The next prime is 23796077761. The reversal of 23796077760 is 6777069732.

It is a happy number.

23796077760 is a `hidden beast` number, since 23 + 7 + 9 + 607 + 7 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23796077759) and next prime (23796077761).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 23796077697 and 23796077706.

It is not an unprimeable number, because it can be changed into a prime (23796077761) 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, 218312586 + ... + 218312694.

It is an arithmetic number, because the mean of its divisors is an integer number (81724500).

Almost surely, 2^23796077760 is an apocalyptic number.

23796077760 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 23796077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918864000).

23796077760 is an abundant number, since it is smaller than the sum of its proper divisors (86041650240).

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

23796077760 is a wasteful number, since it uses less digits than its factorization.

23796077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 23796077760 in words is "twenty-three billion, seven hundred ninety-six million, seventy-seven thousand, seven hundred sixty".