1070205156864 has 240 divisors, whose sum is σ = 3209787060480. Its totient is φ = 355988183040.

The previous prime is 1070205156851. The next prime is 1070205156869. The reversal of 1070205156864 is 4686515020701.

1070205156864 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 20 + 5 + 1 + 568 + 64 = 666.

It is a super-2 number, since 2×1070205156864² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070205156869) 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 23 ways as a sum of consecutive naturals, for example, 61079497 + ... + 61097015.

It is an arithmetic number, because the mean of its divisors is an integer number (13374112752).

Almost surely, 2^{1070205156864} 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 1070205156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604893530240).

1070205156864 is an abundant number, since it is smaller than the sum of its proper divisors (2139581903616).

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

1070205156864 is an frugal number, since it uses more digits than its factorization.

1070205156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1070205156864 in words is "one trillion, seventy billion, two hundred five million, one hundred fifty-six thousand, eight hundred sixty-four".