1079358501312 has 336 divisors, whose sum is σ = 3888761490432. Its totient is φ = 278608619520.

The previous prime is 1079358501283. The next prime is 1079358501313. The reversal of 1079358501312 is 2131058539701.

1079358501312 is a `hidden beast` number, since 1 + 0 + 7 + 93 + 58 + 501 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079358501313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244487 + ... + 2682617.

It is an arithmetic number, because the mean of its divisors is an integer number (11573694912).

Almost surely, 2^{1079358501312} is an apocalyptic number.

1079358501312 is a gapful number since it is divisible by the number (12) 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 1079358501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944380745216).

1079358501312 is an abundant number, since it is smaller than the sum of its proper divisors (2809402989120).

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

1079358501312 is a wasteful number, since it uses less digits than its factorization.

1079358501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438216 (or 438203 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1079358501312 in words is "one trillion, seventy-nine billion, three hundred fifty-eight million, five hundred one thousand, three hundred twelve".