481591698560 has 128 divisors (see below), whose sum is σ = 1316065069440. Its totient is φ = 165081047040.

The previous prime is 481591698559. The next prime is 481591698589. The reversal of 481591698560 is 65896195184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 481591698493 and 481591698502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27843515 + ... + 27860805.

It is an arithmetic number, because the mean of its divisors is an integer number (10281758355).

Almost surely, 2^481591698560 is an apocalyptic number.

481591698560 is a gapful number since it is divisible by the number (40) 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 481591698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658032534720).

481591698560 is an abundant number, since it is smaller than the sum of its proper divisors (834473370880).

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

481591698560 is a wasteful number, since it uses less digits than its factorization.

481591698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23534 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 62.

The spelling of 481591698560 in words is "four hundred eighty-one billion, five hundred ninety-one million, six hundred ninety-eight thousand, five hundred sixty".