11182071176640 has 4480 divisors, whose sum is σ = 54088378122240. Its totient is φ = 2128409395200.

The previous prime is 11182071176603. The next prime is 11182071176659. The reversal of 11182071176640 is 4667117028111.

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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 102587808906 + ... + 102587809014.

It is an arithmetic number, because the mean of its divisors is an integer number (12073298688).

Almost surely, 2^{11182071176640} is an apocalyptic number.

11182071176640 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 11182071176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27044189061120).

11182071176640 is an abundant number, since it is smaller than the sum of its proper divisors (42906306945600).

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

11182071176640 is a wasteful number, since it uses less digits than its factorization.

11182071176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11182071176640 in words is "eleven trillion, one hundred eighty-two billion, seventy-one million, one hundred seventy-six thousand, six hundred forty".