81552458880 has 480 divisors, whose sum is σ = 301120239420. Its totient is φ = 21032939520.

The previous prime is 81552458879. The next prime is 81552458887. The reversal of 81552458880 is 8885425518.

81552458880 is a `hidden beast` number, since 8 + 1 + 5 + 52 + 4 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70547609664 + 11004849216 = 265608^2 + 104904^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (81552458887) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49817422 + ... + 49819058.

Almost surely, 2^81552458880 is an apocalyptic number.

81552458880 is a gapful number since it is divisible by the number (80) 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 81552458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150560119710).

81552458880 is an abundant number, since it is smaller than the sum of its proper divisors (219567780540).

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

81552458880 is a wasteful number, since it uses less digits than its factorization.

81552458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 54.

The spelling of 81552458880 in words is "eighty-one billion, five hundred fifty-two million, four hundred fifty-eight thousand, eight hundred eighty".