1135107527040 has 512 divisors, whose sum is σ = 4251153715200. Its totient is φ = 285780787200.

The previous prime is 1135107527023. The next prime is 1135107527069. The reversal of 1135107527040 is 407257015311.

1135107527040 is a `hidden beast` number, since 1 + 1 + 3 + 510 + 75 + 2 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1135107526986 and 1135107527004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21937039 + ... + 21988721.

It is an arithmetic number, because the mean of its divisors is an integer number (8303034600).

Almost surely, 2^{1135107527040} is an apocalyptic number.

1135107527040 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 1135107527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125576857600).

1135107527040 is an abundant number, since it is smaller than the sum of its proper divisors (3116046188160).

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

1135107527040 is a wasteful number, since it uses less digits than its factorization.

1135107527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51783 (or 51765 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1135107527040 in words is "one trillion, one hundred thirty-five billion, one hundred seven million, five hundred twenty-seven thousand, forty".