81758328480 has 480 divisors, whose sum is σ = 321607661760. Its totient is φ = 19438755840.

The previous prime is 81758328473. The next prime is 81758328517. The reversal of 81758328480 is 8482385718.

81758328480 is a `hidden beast` number, since 8 + 17 + 583 + 2 + 8 + 48 + 0 = 666.

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

It is a super-2 number, since 2×81758328480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4176315 + ... + 4195845.

It is an arithmetic number, because the mean of its divisors is an integer number (670015962).

Almost surely, 2^81758328480 is an apocalyptic number.

81758328480 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 81758328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160803830880).

81758328480 is an abundant number, since it is smaller than the sum of its proper divisors (239849333280).

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

81758328480 is a wasteful number, since it uses less digits than its factorization.

81758328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 81758328480 in words is "eighty-one billion, seven hundred fifty-eight million, three hundred twenty-eight thousand, four hundred eighty".