23686992000 has 960 divisors, whose sum is σ = 102611634840. Its totient is φ = 5399654400.

The previous prime is 23686991987. The next prime is 23686992013. The reversal of 23686992000 is 29968632.

It is an interprime number because it is at equal distance from previous prime (23686991987) and next prime (23686992013).

It can be written as a sum of positive squares in 4 ways, for example, as 7427681856 + 16259310144 = 86184^2 + 127512^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×23686992000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63503814 + ... + 63504186.

Almost surely, 2^23686992000 is an apocalyptic number.

23686992000 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 23686992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51305817420).

23686992000 is an abundant number, since it is smaller than the sum of its proper divisors (78924642840).

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

23686992000 is an equidigital number, since it uses as much as digits as its factorization.

23686992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 23686992000 in words is "twenty-three billion, six hundred eighty-six million, nine hundred ninety-two thousand".