75248268779776 has 81 divisors (see below), whose sum is σ = 154382381620551. Its totient is φ = 36604767614976.

The previous prime is 75248268779773. The next prime is 75248268779777. The reversal of 75248268779776 is 67797786284257.

The square root of 75248268779776 is 8674576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38016793682176 + 37231475097600 = 6165776^2 + 6101760^2 .

It is a super-2 number, since 2×75248268779776² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75248268779693 and 75248268779702.

It is not an unprimeable number, because it can be changed into a prime (75248268779773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5135341666 + ... + 5135356318.

Almost surely, 2^{75248268779776} is an apocalyptic number.

75248268779776 is the 8674576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75248268779776

75248268779776 is an abundant number, since it is smaller than the sum of its proper divisors (79134112840775).

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

75248268779776 is an frugal number, since it uses more digits than its factorization.

75248268779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29396 (or 14692 counting only the distinct ones).

The product of its digits is 27880796160, while the sum is 85.

The spelling of 75248268779776 in words is "seventy-five trillion, two hundred forty-eight billion, two hundred sixty-eight million, seven hundred seventy-nine thousand, seven hundred seventy-six".