2059575891552 has 192 divisors, whose sum is σ = 6021398476800. Its totient is φ = 684893214720.

The previous prime is 2059575891547. The next prime is 2059575891553. The reversal of 2059575891552 is 2551985759502.

It is a happy number.

2059575891552 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 5 + 75 + 8 + 9 + 1 + 552 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2059575891552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059575891553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010090149 + ... + 1010092187.

It is an arithmetic number, because the mean of its divisors is an integer number (31361450400).

Almost surely, 2^{2059575891552} 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 2059575891552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010699238400).

2059575891552 is an abundant number, since it is smaller than the sum of its proper divisors (3961822585248).

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

2059575891552 is a wasteful number, since it uses less digits than its factorization.

2059575891552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 63.

The spelling of 2059575891552 in words is "two trillion, fifty-nine billion, five hundred seventy-five million, eight hundred ninety-one thousand, five hundred fifty-two".