70056328320000 has 990 divisors, whose sum is σ = 277848277460754. Its totient is φ = 16983183360000.

The previous prime is 70056328319881. The next prime is 70056328320001. The reversal of 70056328320000 is 2382365007.

70056328320000 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 6 + 328 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 49032709456896 + 21023618863104 = 7002336^2 + 4585152^2 .

It is a tau number, because it is divible by the number of its divisors (990).

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 (70056328320001) 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 89 ways as a sum of consecutive naturals, for example, 696909742 + ... + 697010258.

Almost surely, 2^{70056328320000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70056328320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138924138730377).

70056328320000 is an abundant number, since it is smaller than the sum of its proper divisors (207791949140754).

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

70056328320000 is a wasteful number, since it uses less digits than its factorization.

70056328320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100585 (or 100538 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 70056328320000 in words is "seventy trillion, fifty-six billion, three hundred twenty-eight million, three hundred twenty thousand".