10551126560 has 96 divisors (see below), whose sum is σ = 26883973872. Its totient is φ = 3890073600.

The previous prime is 10551126557. The next prime is 10551126589. The reversal of 10551126560 is 6562115501.

It can be written as a sum of positive squares in 8 ways, for example, as 2691949456 + 7859177104 = 51884^2 + 88652^2 .

It is a super-2 number, since 2×10551126560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571210 + ... + 1577910.

Almost surely, 2^10551126560 is an apocalyptic number.

10551126560 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 10551126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441986936).

10551126560 is an abundant number, since it is smaller than the sum of its proper divisors (16332847312).

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

10551126560 is a wasteful number, since it uses less digits than its factorization.

10551126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 10551126560 in words is "ten billion, five hundred fifty-one million, one hundred twenty-six thousand, five hundred sixty".