2075950823712 has 384 divisors, whose sum is σ = 5923142184960. Its totient is φ = 634282721280.

The previous prime is 2075950823707. The next prime is 2075950823717. The reversal of 2075950823712 is 2173280595702.

It is an interprime number because it is at equal distance from previous prime (2075950823707) and next prime (2075950823717).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2075950823717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3635640387 + ... + 3635640957.

It is an arithmetic number, because the mean of its divisors is an integer number (15424849440).

Almost surely, 2^{2075950823712} 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 2075950823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961571092480).

2075950823712 is an abundant number, since it is smaller than the sum of its proper divisors (3847191361248).

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

2075950823712 is a wasteful number, since it uses less digits than its factorization.

2075950823712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 2075950823712 in words is "two trillion, seventy-five billion, nine hundred fifty million, eight hundred twenty-three thousand, seven hundred twelve".