81276048000 has 1920 divisors, whose sum is σ = 378293160960. Its totient is φ = 16920576000.

The previous prime is 81276047939. The next prime is 81276048001. The reversal of 81276048000 is 84067218.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81276048001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2621807985 + ... + 2621808015.

It is an arithmetic number, because the mean of its divisors is an integer number (197027688).

Almost surely, 2^81276048000 is an apocalyptic number.

81276048000 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 81276048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189146580480).

81276048000 is an abundant number, since it is smaller than the sum of its proper divisors (297017112960).

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

81276048000 is a wasteful number, since it uses less digits than its factorization.

81276048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 81276048000 in words is "eighty-one billion, two hundred seventy-six million, forty-eight thousand".