70985526546816 has 1024 divisors, whose sum is σ = 245634278400000. Its totient is φ = 19764186292224.

The previous prime is 70985526546797. The next prime is 70985526546817. The reversal of 70985526546816 is 61864562558907.

70985526546816 is a `hidden beast` number, since 7 + 0 + 9 + 8 + 55 + 26 + 546 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70985526546817) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114677748555 + ... + 114677749173.

It is an arithmetic number, because the mean of its divisors is an integer number (239877225000).

Almost surely, 2^{70985526546816} 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 70985526546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122817139200000).

70985526546816 is an abundant number, since it is smaller than the sum of its proper divisors (174648751853184).

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

70985526546816 is a wasteful number, since it uses less digits than its factorization.

70985526546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 70985526546816 in words is "seventy trillion, nine hundred eighty-five billion, five hundred twenty-six million, five hundred forty-six thousand, eight hundred sixteen".