1079319629808 has 320 divisors, whose sum is σ = 3588803159040. Its totient is φ = 304205414400.

The previous prime is 1079319629789. The next prime is 1079319629819. The reversal of 1079319629808 is 8089269139701.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77972968 + ... + 77986808.

It is an arithmetic number, because the mean of its divisors is an integer number (11215009872).

Almost surely, 2^{1079319629808} is an apocalyptic number.

1079319629808 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 1079319629808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794401579520).

1079319629808 is an abundant number, since it is smaller than the sum of its proper divisors (2509483529232).

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

1079319629808 is a wasteful number, since it uses less digits than its factorization.

1079319629808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14201 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 1079319629808 in words is "one trillion, seventy-nine billion, three hundred nineteen million, six hundred twenty-nine thousand, eight hundred eight".