10730880000 has 770 divisors, whose sum is σ = 41937282024. Its totient is φ = 2737152000.

The previous prime is 10730879981. The next prime is 10730880001. The reversal of 10730880000 is 8803701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10730880001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 466559989 + ... + 466560011.

Almost surely, 2^10730880000 is an apocalyptic number.

10730880000 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 10730880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968641012).

10730880000 is an abundant number, since it is smaller than the sum of its proper divisors (31206402024).

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

10730880000 is an frugal number, since it uses more digits than its factorization.

10730880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10730880000 in words is "ten billion, seven hundred thirty million, eight hundred eighty thousand".