10582587671040 has 4800 divisors, whose sum is σ = 52683438044160. Its totient is φ = 2002865356800.

The previous prime is 10582587670973. The next prime is 10582587671099. The reversal of 10582587671040 is 4017678528501.

10582587671040 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 2 + 587 + 6 + 7 + 10 + 40 = 666.

It is a super-2 number, since 2×10582587671040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 341373795825 + ... + 341373795855.

Almost surely, 2^{10582587671040} is an apocalyptic number.

10582587671040 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 10582587671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341719022080).

10582587671040 is an abundant number, since it is smaller than the sum of its proper divisors (42100850373120).

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

10582587671040 is an equidigital number, since it uses as much as digits as its factorization.

10582587671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 10582587671040 in words is "ten trillion, five hundred eighty-two billion, five hundred eighty-seven million, six hundred seventy-one thousand, forty".