2059413095376 has 960 divisors, whose sum is σ = 7678769479680. Its totient is φ = 516761856000.

The previous prime is 2059413095371. The next prime is 2059413095419. The reversal of 2059413095376 is 6735903149502.

2059413095376 is a `hidden beast` number, since 2 + 0 + 5 + 94 + 13 + 0 + 9 + 537 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059413095371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966405831 + ... + 966407961.

It is an arithmetic number, because the mean of its divisors is an integer number (7998718208).

Almost surely, 2^{2059413095376} is an apocalyptic number.

2059413095376 is a gapful number since it is divisible by the number (26) 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 2059413095376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839384739840).

2059413095376 is an abundant number, since it is smaller than the sum of its proper divisors (5619356384304).

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

2059413095376 is a wasteful number, since it uses less digits than its factorization.

2059413095376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 2059413095376 in words is "two trillion, fifty-nine billion, four hundred thirteen million, ninety-five thousand, three hundred seventy-six".