2075950745856 has 243 divisors, whose sum is σ = 6484124371179. Its totient is φ = 638477438976.

The previous prime is 2075950745839. The next prime is 2075950745867. The reversal of 2075950745856 is 6585470595702.

The square root of 2075950745856 is 1440816.

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

2075950745856 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 9 + 507 + 45 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1244678400 + 2074706067456 = 35280^2 + 1440384^2 .

It is a super-3 number, since 3×2075950745856³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2075950745793 and 2075950745802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 899068030 + ... + 899070338.

Almost surely, 2^{2075950745856} is an apocalyptic number.

2075950745856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2075950745856 is the 1440816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075950745856

2075950745856 is an abundant number, since it is smaller than the sum of its proper divisors (4408173625323).

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

2075950745856 is an frugal number, since it uses more digits than its factorization.

2075950745856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 2075950745856 in words is "two trillion, seventy-five billion, nine hundred fifty million, seven hundred forty-five thousand, eight hundred fifty-six".