10551941736960 has 1280 divisors, whose sum is σ = 38886097130496. Its totient is φ = 2421034057728.

The previous prime is 10551941736901. The next prime is 10551941736977. The reversal of 10551941736960 is 6963714915501.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×10551941736960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10551941736960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33712273764 + ... + 33712274076.

Almost surely, 2^{10551941736960} is an apocalyptic number.

10551941736960 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 10551941736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443048565248).

10551941736960 is an abundant number, since it is smaller than the sum of its proper divisors (28334155393536).

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

10551941736960 is a wasteful number, since it uses less digits than its factorization.

10551941736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 10551941736960 in words is "ten trillion, five hundred fifty-one billion, nine hundred forty-one million, seven hundred thirty-six thousand, nine hundred sixty".