23457152160 has 288 divisors, whose sum is σ = 91277156880. Its totient is φ = 5434343424.

The previous prime is 23457152093. The next prime is 23457152161. The reversal of 23457152160 is 6125175432.

23457152160 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 71 + 521 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2676199824 + 20780952336 = 51732^2 + 144156^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (23457152161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281386 + ... + 355094.

Almost surely, 2^23457152160 is an apocalyptic number.

23457152160 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 23457152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45638578440).

23457152160 is an abundant number, since it is smaller than the sum of its proper divisors (67820004720).

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

23457152160 is a wasteful number, since it uses less digits than its factorization.

23457152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73760 (or 73749 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 23457152160 in words is "twenty-three billion, four hundred fifty-seven million, one hundred fifty-two thousand, one hundred sixty".