11035456232080 has 640 divisors, whose sum is σ = 33188975769600. Its totient is φ = 3324756492288.

The previous prime is 11035456231999. The next prime is 11035456232089. The reversal of 11035456232080 is 8023265453011.

It is a super-3 number, since 3×11035456232080³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11035456232089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1705895086 + ... + 1705901554.

It is an arithmetic number, because the mean of its divisors is an integer number (51857774640).

Almost surely, 2^{11035456232080} is an apocalyptic number.

11035456232080 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 11035456232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594487884800).

11035456232080 is an abundant number, since it is smaller than the sum of its proper divisors (22153519537520).

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

11035456232080 is a wasteful number, since it uses less digits than its factorization.

11035456232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 11035456232080 in words is "eleven trillion, thirty-five billion, four hundred fifty-six million, two hundred thirty-two thousand, eighty".