10231684000 has 192 divisors, whose sum is σ = 26015502240. Its totient is φ = 3951820800.

The previous prime is 10231683991. The next prime is 10231684009. The reversal of 10231684000 is 48613201.

It is an interprime number because it is at equal distance from previous prime (10231683991) and next prime (10231684009).

It can be written as a sum of positive squares in 16 ways, for example, as 68624656 + 10163059344 = 8284^2 + 100812^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10231684009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38035866 + ... + 38036134.

Almost surely, 2^10231684000 is an apocalyptic number.

10231684000 is a gapful number since it is divisible by the number (10) 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 10231684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007751120).

10231684000 is an abundant number, since it is smaller than the sum of its proper divisors (15783818240).

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

10231684000 is a wasteful number, since it uses less digits than its factorization.

10231684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 10231684000 in words is "ten billion, two hundred thirty-one million, six hundred eighty-four thousand".