23507957760 has 768 divisors, whose sum is σ = 92461824000. Its totient is φ = 5086642176.

The previous prime is 23507957749. The next prime is 23507957761. The reversal of 23507957760 is 6775970532.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23507957761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242350032 + ... + 242350128.

It is an arithmetic number, because the mean of its divisors is an integer number (120393000).

Almost surely, 2^23507957760 is an apocalyptic number.

23507957760 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 23507957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912000).

23507957760 is an abundant number, since it is smaller than the sum of its proper divisors (68953866240).

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

23507957760 is an equidigital number, since it uses as much as digits as its factorization.

23507957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 51.

The spelling of 23507957760 in words is "twenty-three billion, five hundred seven million, nine hundred fifty-seven thousand, seven hundred sixty".