70125566112 has 144 divisors (see below), whose sum is σ = 228246258240. Its totient is φ = 20006148096.

The previous prime is 70125566107. The next prime is 70125566113. The reversal of 70125566112 is 21166552107.

70125566112 is a `hidden beast` number, since 70 + 1 + 25 + 566 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (70125566113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351464 + ... + 1402392.

It is an arithmetic number, because the mean of its divisors is an integer number (1585043460).

Almost surely, 2^70125566112 is an apocalyptic number.

70125566112 is a gapful number since it is divisible by the number (72) 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 70125566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114123129120).

70125566112 is an abundant number, since it is smaller than the sum of its proper divisors (158120692128).

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

70125566112 is a wasteful number, since it uses less digits than its factorization.

70125566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51635 (or 51624 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 70125566112 in words is "seventy billion, one hundred twenty-five million, five hundred sixty-six thousand, one hundred twelve".