81287874000 has 560 divisors, whose sum is σ = 297693327360. Its totient is φ = 21457094400.

The previous prime is 81287873987. The next prime is 81287874023. The reversal of 81287874000 is 47878218.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 185165781 + ... + 185166219.

Almost surely, 2^81287874000 is an apocalyptic number.

81287874000 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 81287874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148846663680).

81287874000 is an abundant number, since it is smaller than the sum of its proper divisors (216405453360).

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

81287874000 is a wasteful number, since it uses less digits than its factorization.

81287874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 81287874000 in words is "eighty-one billion, two hundred eighty-seven million, eight hundred seventy-four thousand".