10587580452 has 36 divisors (see below), whose sum is σ = 26776438416. Its totient is φ = 3527428080.

The previous prime is 10587580337. The next prime is 10587580453. The reversal of 10587580452 is 25408578501.

10587580452 is a `hidden beast` number, since 1 + 0 + 58 + 75 + 80 + 452 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10587580452² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10587580398 and 10587580407.

It is not an unprimeable number, because it can be changed into a prime (10587580453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427 + ... + 145517.

It is an arithmetic number, because the mean of its divisors is an integer number (743789956).

Almost surely, 2^10587580452 is an apocalyptic number.

10587580452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10587580452 is an abundant number, since it is smaller than the sum of its proper divisors (16188857964).

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

10587580452 is a wasteful number, since it uses less digits than its factorization.

10587580452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147128 (or 147123 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 10587580452 in words is "ten billion, five hundred eighty-seven million, five hundred eighty thousand, four hundred fifty-two".