10552536340 has 48 divisors (see below), whose sum is σ = 22384953360. Its totient is φ = 4178304000.

The previous prime is 10552536287. The next prime is 10552536341. The reversal of 10552536340 is 4363525501.

It can be written as a sum of positive squares in 8 ways, for example, as 132618256 + 10419918084 = 11516^2 + 102078^2 .

It is a super-2 number, since 2×10552536340² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10552536296 and 10552536305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552536341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514840 + ... + 3517840.

It is an arithmetic number, because the mean of its divisors is an integer number (466353195).

Almost surely, 2^10552536340 is an apocalyptic number.

10552536340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552536340 is an abundant number, since it is smaller than the sum of its proper divisors (11832417020).

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

10552536340 is a wasteful number, since it uses less digits than its factorization.

10552536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 10552536340 in words is "ten billion, five hundred fifty-two million, five hundred thirty-six thousand, three hundred forty".