1070115778368 has 1344 divisors, whose sum is σ = 4133360125440. Its totient is φ = 256842399744.

The previous prime is 1070115778343. The next prime is 1070115778423. The reversal of 1070115778368 is 8638775110701.

1070115778368 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 1 + 577 + 8 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1070115778368² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4163874496 + ... + 4163874752.

It is an arithmetic number, because the mean of its divisors is an integer number (3075416760).

Almost surely, 2^{1070115778368} is an apocalyptic number.

1070115778368 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 1070115778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066680062720).

1070115778368 is an abundant number, since it is smaller than the sum of its proper divisors (3063244347072).

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

1070115778368 is a wasteful number, since it uses less digits than its factorization.

1070115778368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 1070115778368 in words is "one trillion, seventy billion, one hundred fifteen million, seven hundred seventy-eight thousand, three hundred sixty-eight".