81534576000 has 256 divisors, whose sum is σ = 274001457600. Its totient is φ = 21443788800.

The previous prime is 81534575963. The next prime is 81534576017. The reversal of 81534576000 is 67543518.

It is a self number, because there is not a number n which added to its sum of digits gives 81534576000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3492366 + ... + 3515634.

Almost surely, 2^81534576000 is an apocalyptic number.

81534576000 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 81534576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000728800).

81534576000 is an abundant number, since it is smaller than the sum of its proper divisors (192466881600).

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

81534576000 is a wasteful number, since it uses less digits than its factorization.

81534576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23374 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 81534576000 in words is "eighty-one billion, five hundred thirty-four million, five hundred seventy-six thousand".