1167214043520 has 2560 divisors, whose sum is σ = 5338379059200. Its totient is φ = 237027409920.

The previous prime is 1167214043503. The next prime is 1167214043521. The reversal of 1167214043520 is 253404127611.

1167214043520 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 214 + 0 + 435 + 2 + 0 = 666.

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 (1167214043521) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9190661697 + ... + 9190661823.

It is an arithmetic number, because the mean of its divisors is an integer number (2085304320).

Almost surely, 2^{1167214043520} is an apocalyptic number.

1167214043520 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 1167214043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669189529600).

1167214043520 is an abundant number, since it is smaller than the sum of its proper divisors (4171165015680).

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

1167214043520 is a wasteful number, since it uses less digits than its factorization.

1167214043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1167214043520 in words is "one trillion, one hundred sixty-seven billion, two hundred fourteen million, forty-three thousand, five hundred twenty".