10551864960 has 768 divisors, whose sum is σ = 46032779520. Its totient is φ = 2167603200.

The previous prime is 10551864959. The next prime is 10551864991. The reversal of 10551864960 is 6946815501.

10551864960 is a `hidden beast` number, since 1 + 0 + 551 + 8 + 6 + 4 + 96 + 0 = 666.

It is a super-2 number, since 2×10551864960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21490315 + ... + 21490805.

It is an arithmetic number, because the mean of its divisors is an integer number (59938515).

Almost surely, 2^10551864960 is an apocalyptic number.

10551864960 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 10551864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016389760).

10551864960 is an abundant number, since it is smaller than the sum of its proper divisors (35480914560).

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

10551864960 is a wasteful number, since it uses less digits than its factorization.

10551864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10551864960 in words is "ten billion, five hundred fifty-one million, eight hundred sixty-four thousand, nine hundred sixty".