581773272268104 has 640 divisors, whose sum is σ = 1975352356454400. Its totient is φ = 156429574894080.

The previous prime is 581773272268091. The next prime is 581773272268171. The reversal of 581773272268104 is 401862272377185.

581773272268104 is a `hidden beast` number, since 5 + 8 + 1 + 7 + 7 + 327 + 226 + 81 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10296297117 + ... + 10296353619.

It is an arithmetic number, because the mean of its divisors is an integer number (3086488056960).

Almost surely, 2^{581773272268104} is an apocalyptic number.

581773272268104 is a gapful number since it is divisible by the number (54) 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 581773272268104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987676178227200).

581773272268104 is an abundant number, since it is smaller than the sum of its proper divisors (1393579084186296).

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

581773272268104 is a wasteful number, since it uses less digits than its factorization.

581773272268104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58575 (or 58562 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 581773272268104 in words is "five hundred eighty-one trillion, seven hundred seventy-three billion, two hundred seventy-two million, two hundred sixty-eight thousand, one hundred four".