10553688961920 has 960 divisors, whose sum is σ = 41218833126240. Its totient is φ = 2571894374400.

The previous prime is 10553688961919. The next prime is 10553688961961. The reversal of 10553688961920 is 2916988635501.

10553688961920 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 6 + 8 + 8 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10553688961920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 884850997 + ... + 884862923.

Almost surely, 2^{10553688961920} is an apocalyptic number.

10553688961920 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 10553688961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609416563120).

10553688961920 is an abundant number, since it is smaller than the sum of its proper divisors (30665144164320).

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

10553688961920 is a wasteful number, since it uses less digits than its factorization.

10553688961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10553688961920 in words is "ten trillion, five hundred fifty-three billion, six hundred eighty-eight million, nine hundred sixty-one thousand, nine hundred twenty".