81325890048 has 160 divisors (see below), whose sum is σ = 240851584512. Its totient is φ = 24215961600.

The previous prime is 81325890007. The next prime is 81325890059. The reversal of 81325890048 is 84009852318.

It is a super-2 number, since 2×81325890048² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 81325889979 and 81325890006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553318 + ... + 684698.

Almost surely, 2^81325890048 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 81325890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120425792256).

81325890048 is an abundant number, since it is smaller than the sum of its proper divisors (159525694464).

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

81325890048 is a wasteful number, since it uses less digits than its factorization.

81325890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131446 (or 131430 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 81325890048 in words is "eighty-one billion, three hundred twenty-five million, eight hundred ninety thousand, forty-eight".