1167265935360 has 1872 divisors, whose sum is σ = 5153729495616. Its totient is φ = 247669456896.

The previous prime is 1167265935359. The next prime is 1167265935439. The reversal of 1167265935360 is 635395627611.

1167265935360 is a `hidden beast` number, since 1 + 16 + 7 + 2 + 6 + 5 + 93 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1167265935297 and 1167265935306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15989944284 + ... + 15989944356.

It is an arithmetic number, because the mean of its divisors is an integer number (2753060628).

Almost surely, 2^{1167265935360} is an apocalyptic number.

1167265935360 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 1167265935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576864747808).

1167265935360 is an abundant number, since it is smaller than the sum of its proper divisors (3986463560256).

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

1167265935360 is an frugal number, since it uses more digits than its factorization.

1167265935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 1167265935360 in words is "one trillion, one hundred sixty-seven billion, two hundred sixty-five million, nine hundred thirty-five thousand, three hundred sixty".