1084170072960 has 768 divisors, whose sum is σ = 4224536709120. Its totient is φ = 254372659200.

The previous prime is 1084170072889. The next prime is 1084170073013. The reversal of 1084170072960 is 692700714801.

It is a happy number.

1084170072960 is a `hidden beast` number, since 108 + 417 + 0 + 0 + 72 + 9 + 60 = 666.

1084170072960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155522275 + ... + 155529245.

It is an arithmetic number, because the mean of its divisors is an integer number (5500698840).

Almost surely, 2^{1084170072960} is an apocalyptic number.

1084170072960 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 1084170072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112268354560).

1084170072960 is an abundant number, since it is smaller than the sum of its proper divisors (3140366636160).

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

1084170072960 is a wasteful number, since it uses less digits than its factorization.

1084170072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1084170072960 in words is "one trillion, eighty-four billion, one hundred seventy million, seventy-two thousand, nine hundred sixty".