1165052053440 has 336 divisors, whose sum is σ = 4373892862560. Its totient is φ = 282288291840.

The previous prime is 1165052053387. The next prime is 1165052053453. The reversal of 1165052053440 is 443502505611.

1165052053440 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 5 + 205 + 3 + 440 = 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 = 1165052053395 and 1165052053404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67691556 + ... + 67708764.

Almost surely, 2^{1165052053440} is an apocalyptic number.

1165052053440 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 1165052053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186946431280).

1165052053440 is an abundant number, since it is smaller than the sum of its proper divisors (3208840809120).

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

1165052053440 is a wasteful number, since it uses less digits than its factorization.

1165052053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19380 (or 19367 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1165052053440 in words is "one trillion, one hundred sixty-five billion, fifty-two million, fifty-three thousand, four hundred forty".