1070168410080 has 960 divisors, whose sum is σ = 4809137743872. Its totient is φ = 217631784960.

The previous prime is 1070168410057. The next prime is 1070168410093. The reversal of 1070168410080 is 800148610701.

1070168410080 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 168 + 410 + 0 + 80 = 666.

It is a super-2 number, since 2×1070168410080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46890832 + ... + 46913648.

Almost surely, 2^{1070168410080} is an apocalyptic number.

1070168410080 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 1070168410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404568871936).

1070168410080 is an abundant number, since it is smaller than the sum of its proper divisors (3738969333792).

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

1070168410080 is a wasteful number, since it uses less digits than its factorization.

1070168410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22909 (or 22892 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1070168410080 in words is "one trillion, seventy billion, one hundred sixty-eight million, four hundred ten thousand, eighty".