23806953000 has 672 divisors, whose sum is σ = 89511584760. Its totient is φ = 5922201600.

The previous prime is 23806952963. The next prime is 23806953007. The reversal of 23806953000 is 35960832.

It can be written as a sum of positive squares in 12 ways, for example, as 1384286436 + 22422666564 = 37206^2 + 149742^2 .

It is a super-2 number, since 2×23806953000² (a number of 22 digits) contains 22 as substring.

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 (23806953007) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 210680944 + ... + 210681056.

Almost surely, 2^23806953000 is an apocalyptic number.

23806953000 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 23806953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755792380).

23806953000 is an abundant number, since it is smaller than the sum of its proper divisors (65704631760).

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

23806953000 is a wasteful number, since it uses less digits than its factorization.

23806953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23806953000 in words is "twenty-three billion, eight hundred six million, nine hundred fifty-three thousand".