23545133640 has 768 divisors, whose sum is σ = 98482176000. Its totient is φ = 4755179520.

The previous prime is 23545133581. The next prime is 23545133653. The reversal of 23545133640 is 4633154532.

23545133640 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 5 + 1 + 3 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23545133595 and 23545133604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43043847 + ... + 43044393.

It is an arithmetic number, because the mean of its divisors is an integer number (128232000).

Almost surely, 2^23545133640 is an apocalyptic number.

23545133640 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 23545133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49241088000).

23545133640 is an abundant number, since it is smaller than the sum of its proper divisors (74937042360).

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

23545133640 is a wasteful number, since it uses less digits than its factorization.

23545133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 23545133640 in words is "twenty-three billion, five hundred forty-five million, one hundred thirty-three thousand, six hundred forty".