81887480064 has 720 divisors, whose sum is σ = 282709139328. Its totient is φ = 23351721984.

The previous prime is 81887480063. The next prime is 81887480089. The reversal of 81887480064 is 46008478818.

81887480064 is a `hidden beast` number, since 81 + 8 + 87 + 480 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81887480063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 490344109 + ... + 490344275.

Almost surely, 2^81887480064 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 81887480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141354569664).

81887480064 is an abundant number, since it is smaller than the sum of its proper divisors (200821659264).

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

81887480064 is a wasteful number, since it uses less digits than its factorization.

81887480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 81887480064 in words is "eighty-one billion, eight hundred eighty-seven million, four hundred eighty thousand, sixty-four".