10721005793280 has 1248 divisors, whose sum is σ = 39825622298880. Its totient is φ = 2735302901760.

The previous prime is 10721005793261. The next prime is 10721005793287. The reversal of 10721005793280 is 8239750012701.

10721005793280 is a `hidden beast` number, since 1 + 0 + 72 + 1 + 0 + 0 + 579 + 3 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×10721005793280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721005793287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81839738815 + ... + 81839738945.

Almost surely, 2^{10721005793280} is an apocalyptic number.

10721005793280 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 10721005793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912811149440).

10721005793280 is an abundant number, since it is smaller than the sum of its proper divisors (29104616505600).

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

10721005793280 is an equidigital number, since it uses as much as digits as its factorization.

10721005793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10721005793280 in words is "ten trillion, seven hundred twenty-one billion, five million, seven hundred ninety-three thousand, two hundred eighty".