11735562216960 has 960 divisors, whose sum is σ = 44309860987392. Its totient is φ = 2971072659456.

The previous prime is 11735562216949. The next prime is 11735562216977. The reversal of 11735562216960 is 6961226553711.

11735562216960 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 5 + 5 + 622 + 1 + 6 + 9 + 6 + 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 2×11735562216960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11735562216897 and 11735562216906.

It is a congruent number.

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, 1960171087 + ... + 1960177073.

Almost surely, 2^{11735562216960} is an apocalyptic number.

11735562216960 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 11735562216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154930493696).

11735562216960 is an abundant number, since it is smaller than the sum of its proper divisors (32574298770432).

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

11735562216960 is an equidigital number, since it uses as much as digits as its factorization.

11735562216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 11735562216960 in words is "eleven trillion, seven hundred thirty-five billion, five hundred sixty-two million, two hundred sixteen thousand, nine hundred sixty".