1135699107840 has 2016 divisors, whose sum is σ = 4796873198208. Its totient is φ = 256927334400.

The previous prime is 1135699107791. The next prime is 1135699107847. The reversal of 1135699107840 is 487019965311.

1135699107840 is a `hidden beast` number, since 1 + 1 + 3 + 569 + 9 + 1 + 0 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1135699107847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27699978220 + ... + 27699978260.

It is an arithmetic number, because the mean of its divisors is an integer number (2379401388).

Almost surely, 2^{1135699107840} is an apocalyptic number.

1135699107840 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 1135699107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398436599104).

1135699107840 is an abundant number, since it is smaller than the sum of its proper divisors (3661174090368).

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

1135699107840 is an equidigital number, since it uses as much as digits as its factorization.

1135699107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1135699107840 in words is "one trillion, one hundred thirty-five billion, six hundred ninety-nine million, one hundred seven thousand, eight hundred forty".