1135027926480 has 960 divisors, whose sum is σ = 4446311989248. Its totient is φ = 234310164480.

The previous prime is 1135027926469. The next prime is 1135027926481. The reversal of 1135027926480 is 846297205311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135027926481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1372463827 + ... + 1372464653.

It is a 1-persistent number, because it is pandigital, but 2⋅1135027926480 = 2270055852960 is not.

Almost surely, 2^{1135027926480} is an apocalyptic number.

1135027926480 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 1135027926480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223155994624).

1135027926480 is an abundant number, since it is smaller than the sum of its proper divisors (3311284062768).

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

1135027926480 is a wasteful number, since it uses less digits than its factorization.

1135027926480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1135027926480 in words is "one trillion, one hundred thirty-five billion, twenty-seven million, nine hundred twenty-six thousand, four hundred eighty".