70425656889120 has 4608 divisors, whose sum is σ = 314427101184000. Its totient is φ = 14570646405120.

The previous prime is 70425656889109. The next prime is 70425656889179. The reversal of 70425656889120 is 2198865652407.

70425656889120 is a `hidden beast` number, since 7 + 0 + 4 + 2 + 56 + 568 + 8 + 9 + 12 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 506659402011 + ... + 506659402149.

It is an arithmetic number, because the mean of its divisors is an integer number (68235048000).

Almost surely, 2^{70425656889120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70425656889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157213550592000).

70425656889120 is an abundant number, since it is smaller than the sum of its proper divisors (244001444294880).

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

70425656889120 is a wasteful number, since it uses less digits than its factorization.

70425656889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 70425656889120 in words is "seventy trillion, four hundred twenty-five billion, six hundred fifty-six million, eight hundred eighty-nine thousand, one hundred twenty".