10911553960320 has 1152 divisors, whose sum is σ = 43042493370240. Its totient is φ = 2628155621376.

The previous prime is 10911553960301. The next prime is 10911553960337. The reversal of 10911553960320 is 2306935511901.

10911553960320 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 1 + 5 + 5 + 39 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10911553960320² (a number of 27 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 2565611314 + ... + 2565615566.

It is an arithmetic number, because the mean of its divisors is an integer number (37363275495).

Almost surely, 2^{10911553960320} is an apocalyptic number.

10911553960320 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 10911553960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521246685120).

10911553960320 is an abundant number, since it is smaller than the sum of its proper divisors (32130939409920).

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

10911553960320 is an frugal number, since it uses more digits than its factorization.

10911553960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 10911553960320 in words is "ten trillion, nine hundred eleven billion, five hundred fifty-three million, nine hundred sixty thousand, three hundred twenty".