10233077760 has 448 divisors, whose sum is σ = 38375539200. Its totient is φ = 2579890176.

The previous prime is 10233077749. The next prime is 10233077761. The reversal of 10233077760 is 6777033201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233077761) 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, 21012237 + ... + 21012723.

Almost surely, 2^10233077760 is an apocalyptic number.

10233077760 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 10233077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187769600).

10233077760 is an abundant number, since it is smaller than the sum of its proper divisors (28142461440).

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

10233077760 is an equidigital number, since it uses as much as digits as its factorization.

10233077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 10233077760 in words is "ten billion, two hundred thirty-three million, seventy-seven thousand, seven hundred sixty".