81074089747584 has 1152 divisors, whose sum is σ = 267523389619200. Its totient is φ = 23454710231040.

The previous prime is 81074089747579. The next prime is 81074089747591. The reversal of 81074089747584 is 48574798047018.

81074089747584 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 408 + 9 + 74 + 75 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49830416979 + ... + 49830418605.

It is an arithmetic number, because the mean of its divisors is an integer number (232225164600).

Almost surely, 2^{81074089747584} 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 81074089747584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133761694809600).

81074089747584 is an abundant number, since it is smaller than the sum of its proper divisors (186449299871616).

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

81074089747584 is a wasteful number, since it uses less digits than its factorization.

81074089747584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 81074089747584 in words is "eighty-one trillion, seventy-four billion, eighty-nine million, seven hundred forty-seven thousand, five hundred eighty-four".