70405171200 has 1728 divisors, whose sum is σ = 328261489920. Its totient is φ = 14014218240.

The previous prime is 70405171141. The next prime is 70405171201. The reversal of 70405171200 is 217150407.

70405171200 is a `hidden beast` number, since 70 + 405 + 171 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (70405171201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 964454364 + ... + 964454436.

It is an arithmetic number, because the mean of its divisors is an integer number (189966140).

Almost surely, 2^70405171200 is an apocalyptic number.

70405171200 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 70405171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164130744960).

70405171200 is an abundant number, since it is smaller than the sum of its proper divisors (257856318720).

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

70405171200 is a wasteful number, since it uses less digits than its factorization.

70405171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 70405171200 in words is "seventy billion, four hundred five million, one hundred seventy-one thousand, two hundred".