1135016305920 has 1728 divisors, whose sum is σ = 4937290176000. Its totient is φ = 246781624320.

The previous prime is 1135016305919. The next prime is 1135016305921. The reversal of 1135016305920 is 295036105311.

It is a happy number.

1135016305920 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 1 + 63 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1135016305919) and next prime (1135016305921).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135016305921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6270808230 + ... + 6270808410.

Almost surely, 2^{1135016305920} is an apocalyptic number.

1135016305920 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 1135016305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468645088000).

1135016305920 is an abundant number, since it is smaller than the sum of its proper divisors (3802273870080).

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

1135016305920 is an equidigital number, since it uses as much as digits as its factorization.

1135016305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 1135016305920 in words is "one trillion, one hundred thirty-five billion, sixteen million, three hundred five thousand, nine hundred twenty".