1106532598080 has 896 divisors, whose sum is σ = 4604479488000. Its totient is φ = 223295643648.

The previous prime is 1106532598051. The next prime is 1106532598133. The reversal of 1106532598080 is 808952356011.

It is a happy number.

It is a super-2 number, since 2×1106532598080² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 98449101 + ... + 98460339.

It is an arithmetic number, because the mean of its divisors is an integer number (5138928000).

Almost surely, 2^{1106532598080} is an apocalyptic number.

1106532598080 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 1106532598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302239744000).

1106532598080 is an abundant number, since it is smaller than the sum of its proper divisors (3497946889920).

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

1106532598080 is a wasteful number, since it uses less digits than its factorization.

1106532598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 1106532598080 in words is "one trillion, one hundred six billion, five hundred thirty-two million, five hundred ninety-eight thousand, eighty".