1163532263040 has 1280 divisors, whose sum is σ = 5134943404800. Its totient is φ = 245089566720.

The previous prime is 1163532263039. The next prime is 1163532263053. The reversal of 1163532263040 is 403622353611.

1163532263040 is a `hidden beast` number, since 1 + 1 + 6 + 353 + 2 + 263 + 0 + 40 = 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 = 1163532262986 and 1163532263004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255102360 + ... + 255106920.

It is an arithmetic number, because the mean of its divisors is an integer number (4011674535).

Almost surely, 2^{1163532263040} is an apocalyptic number.

1163532263040 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 1163532263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567471702400).

1163532263040 is an abundant number, since it is smaller than the sum of its proper divisors (3971411141760).

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

1163532263040 is a wasteful number, since it uses less digits than its factorization.

1163532263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1163532263040 in words is "one trillion, one hundred sixty-three billion, five hundred thirty-two million, two hundred sixty-three thousand, forty".