70105617120 has 576 divisors, whose sum is σ = 289313482752. Its totient is φ = 14095872000.

The previous prime is 70105617119. The next prime is 70105617139. The reversal of 70105617120 is 2171650107.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8015950 + ... + 8024690.

It is an arithmetic number, because the mean of its divisors is an integer number (502280352).

Almost surely, 2^70105617120 is an apocalyptic number.

70105617120 is a gapful number since it is divisible by the number (70) 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 70105617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144656741376).

70105617120 is an abundant number, since it is smaller than the sum of its proper divisors (219207865632).

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

70105617120 is a wasteful number, since it uses less digits than its factorization.

70105617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 70105617120 in words is "seventy billion, one hundred five million, six hundred seventeen thousand, one hundred twenty".