81948672000 has 1280 divisors, whose sum is σ = 346370824800. Its totient is φ = 19110297600.

The previous prime is 81948671953. The next prime is 81948672017. The reversal of 81948672000 is 27684918.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4313087991 + ... + 4313088009.

Almost surely, 2^81948672000 is an apocalyptic number.

81948672000 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 81948672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173185412400).

81948672000 is an abundant number, since it is smaller than the sum of its proper divisors (264422152800).

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

81948672000 is an equidigital number, since it uses as much as digits as its factorization.

81948672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 81948672000 in words is "eighty-one billion, nine hundred forty-eight million, six hundred seventy-two thousand".