232010956800 has 1440 divisors, whose sum is σ = 1012851562240. Its totient is φ = 51597803520.

The previous prime is 232010956799. The next prime is 232010956813. The reversal of 232010956800 is 8659010232.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6270566382 + ... + 6270566418.

Almost surely, 2^232010956800 is an apocalyptic number.

232010956800 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 232010956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506425781120).

232010956800 is an abundant number, since it is smaller than the sum of its proper divisors (780840605440).

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

232010956800 is an frugal number, since it uses more digits than its factorization.

232010956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 232010956800 in words is "two hundred thirty-two billion, ten million, nine hundred fifty-six thousand, eight hundred".