10591002720 has 480 divisors, whose sum is σ = 40367261088. Its totient is φ = 2605105152.

The previous prime is 10591002683. The next prime is 10591002811. The reversal of 10591002720 is 2720019501.

10591002720 is a `hidden beast` number, since 1 + 0 + 591 + 0 + 0 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10591002720² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11676507 + ... + 11677413.

Almost surely, 2^10591002720 is an apocalyptic number.

10591002720 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 10591002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183630544).

10591002720 is an abundant number, since it is smaller than the sum of its proper divisors (29776258368).

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

10591002720 is a wasteful number, since it uses less digits than its factorization.

10591002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10591002720 in words is "ten billion, five hundred ninety-one million, two thousand, seven hundred twenty".