81874463580 has 768 divisors, whose sum is σ = 328903680000. Its totient is φ = 16789441536.

The previous prime is 81874463519. The next prime is 81874463591. The reversal of 81874463580 is 8536447818.

81874463580 is a `hidden beast` number, since 8 + 18 + 7 + 4 + 46 + 3 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89090361 + ... + 89091279.

It is an arithmetic number, because the mean of its divisors is an integer number (428260000).

Almost surely, 2^81874463580 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 81874463580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164451840000).

81874463580 is an abundant number, since it is smaller than the sum of its proper divisors (247029216420).

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

81874463580 is a wasteful number, since it uses less digits than its factorization.

81874463580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 81874463580 in words is "eighty-one billion, eight hundred seventy-four million, four hundred sixty-three thousand, five hundred eighty".