10730700288000 has 3328 divisors, whose sum is σ = 52462828154880. Its totient is φ = 2095054848000.

The previous prime is 10730700287977. The next prime is 10730700288001. The reversal of 10730700288000 is 88200703701.

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

It is not an unprimeable number, because it can be changed into a prime (10730700288001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18095615704 + ... + 18095616296.

It is an arithmetic number, because the mean of its divisors is an integer number (15764070960).

Almost surely, 2^{10730700288000} is an apocalyptic number.

10730700288000 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 10730700288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26231414077440).

10730700288000 is an abundant number, since it is smaller than the sum of its proper divisors (41732127866880).

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

10730700288000 is a wasteful number, since it uses less digits than its factorization.

10730700288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10730700288000 in words is "ten trillion, seven hundred thirty billion, seven hundred million, two hundred eighty-eight thousand".