2059956455580 has 672 divisors, whose sum is σ = 7100784149760. Its totient is φ = 499954498560.

The previous prime is 2059956455551. The next prime is 2059956455597. The reversal of 2059956455580 is 855546599502.

2059956455580 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 9 + 5 + 6 + 45 + 5 + 580 = 666.

It is a super-3 number, since 3×2059956455580³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 760972587 + ... + 760975293.

It is an arithmetic number, because the mean of its divisors is an integer number (10566643080).

Almost surely, 2^{2059956455580} is an apocalyptic number.

2059956455580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059956455580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550392074880).

2059956455580 is an abundant number, since it is smaller than the sum of its proper divisors (5040827694180).

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

2059956455580 is a wasteful number, since it uses less digits than its factorization.

2059956455580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 2059956455580 in words is "two trillion, fifty-nine billion, nine hundred fifty-six million, four hundred fifty-five thousand, five hundred eighty".