10589040000 has 960 divisors, whose sum is σ = 47720724480. Its totient is φ = 2188800000.

The previous prime is 10589039969. The next prime is 10589040023. The reversal of 10589040000 is 4098501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10589040000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439905 + ... + 55440095.

It is an arithmetic number, because the mean of its divisors is an integer number (49709088).

Almost surely, 2^10589040000 is an apocalyptic number.

10589040000 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 10589040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860362240).

10589040000 is an abundant number, since it is smaller than the sum of its proper divisors (37131684480).

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

10589040000 is a wasteful number, since it uses less digits than its factorization.

10589040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10589040000 in words is "ten billion, five hundred eighty-nine million, forty thousand".