70994085120 has 1152 divisors, whose sum is σ = 301988736000. Its totient is φ = 15780151296.

The previous prime is 70994085089. The next prime is 70994085133. The reversal of 70994085120 is 2158049907.

70994085120 is a `hidden beast` number, since 7 + 0 + 99 + 40 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628266184 + ... + 628266296.

It is an arithmetic number, because the mean of its divisors is an integer number (262143000).

Almost surely, 2^70994085120 is an apocalyptic number.

70994085120 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 70994085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368000).

70994085120 is an abundant number, since it is smaller than the sum of its proper divisors (230994650880).

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

70994085120 is a wasteful number, since it uses less digits than its factorization.

70994085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 70994085120 in words is "seventy billion, nine hundred ninety-four million, eighty-five thousand, one hundred twenty".