81786432000 has 1280 divisors, whose sum is σ = 347753742336. Its totient is φ = 16588800000.

The previous prime is 81786431963. The next prime is 81786432023. The reversal of 81786432000 is 23468718.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 81786432000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 541631925 + ... + 541632075.

Almost surely, 2^81786432000 is an apocalyptic number.

81786432000 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 81786432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173876871168).

81786432000 is an abundant number, since it is smaller than the sum of its proper divisors (265967310336).

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

81786432000 is a wasteful number, since it uses less digits than its factorization.

81786432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 81786432000 in words is "eighty-one billion, seven hundred eighty-six million, four hundred thirty-two thousand".