10587040608960 has 672 divisors, whose sum is σ = 37650615754752. Its totient is φ = 2728904048640.

The previous prime is 10587040608953. The next prime is 10587040608961. The reversal of 10587040608960 is 6980604078501.

10587040608960 is a `hidden beast` number, since 10 + 587 + 0 + 40 + 6 + 0 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×10587040608960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10587040608897 and 10587040608906.

It is not an unprimeable number, because it can be changed into a prime (10587040608961) 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, 9703978015 + ... + 9703979105.

It is an arithmetic number, because the mean of its divisors is an integer number (56027702016).

Almost surely, 2^{10587040608960} is an apocalyptic number.

10587040608960 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 10587040608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825307877376).

10587040608960 is an abundant number, since it is smaller than the sum of its proper divisors (27063575145792).

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

10587040608960 is a wasteful number, since it uses less digits than its factorization.

10587040608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10587040608960 in words is "ten trillion, five hundred eighty-seven billion, forty million, six hundred eight thousand, nine hundred sixty".