11164080293760 has 384 divisors, whose sum is σ = 35962846819200. Its totient is φ = 2945824088064.

The previous prime is 11164080293759. The next prime is 11164080293819. The reversal of 11164080293760 is 6739208046111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19829627239 + ... + 19829627801.

It is an arithmetic number, because the mean of its divisors is an integer number (93653246925).

Almost surely, 2^{11164080293760} is an apocalyptic number.

11164080293760 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 11164080293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981423409600).

11164080293760 is an abundant number, since it is smaller than the sum of its proper divisors (24798766525440).

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

11164080293760 is an equidigital number, since it uses as much as digits as its factorization.

11164080293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11164080293760 in words is "eleven trillion, one hundred sixty-four billion, eighty million, two hundred ninety-three thousand, seven hundred sixty".