10506687552 has 140 divisors (see below), whose sum is σ = 31905395676. Its totient is φ = 3416739840.

The previous prime is 10506687547. The next prime is 10506687577. The reversal of 10506687552 is 25578660501.

10506687552 is a `hidden beast` number, since 10 + 5 + 0 + 6 + 6 + 87 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3251736576 + 7254950976 = 57024^2 + 85176^2 .

It is a super-2 number, since 2×10506687552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506687498 and 10506687507.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187828 + ... + 237260.

Almost surely, 2^10506687552 is an apocalyptic number.

10506687552 is a gapful number since it is divisible by the number (12) 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 10506687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952697838).

10506687552 is an abundant number, since it is smaller than the sum of its proper divisors (21398708124).

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

10506687552 is an equidigital number, since it uses as much as digits as its factorization.

10506687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49498 (or 49479 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 10506687552 in words is "ten billion, five hundred six million, six hundred eighty-seven thousand, five hundred fifty-two".