70753503077152 has 384 divisors, whose sum is σ = 175823546572800. Its totient is φ = 27326944567296.

The previous prime is 70753503077051. The next prime is 70753503077197. The reversal of 70753503077152 is 25177030535707.

It is a super-2 number, since 2×70753503077152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70753503077152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17036719108 + ... + 17036723260.

It is an arithmetic number, because the mean of its divisors is an integer number (457873819200).

Almost surely, 2^{70753503077152} 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 70753503077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87911773286400).

70753503077152 is an abundant number, since it is smaller than the sum of its proper divisors (105070043495648).

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

70753503077152 is a wasteful number, since it uses less digits than its factorization.

70753503077152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 5402250, while the sum is 52.

The spelling of 70753503077152 in words is "seventy trillion, seven hundred fifty-three billion, five hundred three million, seventy-seven thousand, one hundred fifty-two".