1079054550288 has 640 divisors, whose sum is σ = 3849320294400. Its totient is φ = 284526950400.

The previous prime is 1079054550253. The next prime is 1079054550311. The reversal of 1079054550288 is 8820554509701.

1079054550288 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 0 + 5 + 4 + 550 + 2 + 88 = 666.

1079054550288 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247657806 + ... + 247662162.

It is an arithmetic number, because the mean of its divisors is an integer number (6014562960).

Almost surely, 2^{1079054550288} is an apocalyptic number.

1079054550288 is a gapful number since it is divisible by the number (18) 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 1079054550288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924660147200).

1079054550288 is an abundant number, since it is smaller than the sum of its proper divisors (2770265744112).

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

1079054550288 is a wasteful number, since it uses less digits than its factorization.

1079054550288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 1079054550288 in words is "one trillion, seventy-nine billion, fifty-four million, five hundred fifty thousand, two hundred eighty-eight".