1079330313600 has 1920 divisors, whose sum is σ = 5090749171200. Its totient is φ = 218640384000.

The previous prime is 1079330313557. The next prime is 1079330313601. The reversal of 1079330313600 is 63130339701.

1079330313600 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 30 + 3 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079330313601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 818293741 + ... + 818295059.

It is an arithmetic number, because the mean of its divisors is an integer number (2651431860).

Almost surely, 2^{1079330313600} is an apocalyptic number.

1079330313600 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 1079330313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545374585600).

1079330313600 is an abundant number, since it is smaller than the sum of its proper divisors (4011418857600).

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

1079330313600 is a wasteful number, since it uses less digits than its factorization.

1079330313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The spelling of 1079330313600 in words is "one trillion, seventy-nine billion, three hundred thirty million, three hundred thirteen thousand, six hundred".