70959632288048 has 320 divisors, whose sum is σ = 172173668179968. Its totient is φ = 27641678561280.

The previous prime is 70959632288033. The next prime is 70959632288081. The reversal of 70959632288048 is 84088223695907.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2590037486 + ... + 2590064882.

Almost surely, 2^{70959632288048} 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 70959632288048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86086834089984).

70959632288048 is an abundant number, since it is smaller than the sum of its proper divisors (101214035891920).

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

70959632288048 is a wasteful number, since it uses less digits than its factorization.

70959632288048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27860 (or 27854 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 70959632288048 in words is "seventy trillion, nine hundred fifty-nine billion, six hundred thirty-two million, two hundred eighty-eight thousand, forty-eight".