1072118580960 has 576 divisors, whose sum is σ = 4303122304320. Its totient is φ = 222685102080.

The previous prime is 1072118580959. The next prime is 1072118581021. The reversal of 1072118580960 is 690858112701.

It is a happy number.

It is a super-2 number, since 2×1072118580960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11549130 + ... + 11641590.

It is an arithmetic number, because the mean of its divisors is an integer number (7470698445).

Almost surely, 2^{1072118580960} is an apocalyptic number.

1072118580960 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 1072118580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151561152160).

1072118580960 is an abundant number, since it is smaller than the sum of its proper divisors (3231003723360).

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

1072118580960 is a wasteful number, since it uses less digits than its factorization.

1072118580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92539 (or 92524 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 1072118580960 in words is "one trillion, seventy-two billion, one hundred eighteen million, five hundred eighty thousand, nine hundred sixty".