231680576400 has 960 divisors, whose sum is σ = 993579406848. Its totient is φ = 44749946880.

The previous prime is 231680576399. The next prime is 231680576419. The reversal of 231680576400 is 4675086132.

231680576400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68685114 + ... + 68688486.

Almost surely, 2^231680576400 is an apocalyptic number.

231680576400 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 231680576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496789703424).

231680576400 is an abundant number, since it is smaller than the sum of its proper divisors (761898830448).

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

231680576400 is a wasteful number, since it uses less digits than its factorization.

231680576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 231680576400 in words is "two hundred thirty-one billion, six hundred eighty million, five hundred seventy-six thousand, four hundred".