81063754752000 has 1792 divisors, whose sum is σ = 297808024550400. Its totient is φ = 19500997017600.

The previous prime is 81063754751989. The next prime is 81063754752007. The reversal of 81063754752000 is 25745736018.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81063754752007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140491775712 + ... + 140491776288.

It is an arithmetic number, because the mean of its divisors is an integer number (166187513700).

Almost surely, 2^{81063754752000} is an apocalyptic number.

81063754752000 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 81063754752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148904012275200).

81063754752000 is an abundant number, since it is smaller than the sum of its proper divisors (216744269798400).

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

81063754752000 is a wasteful number, since it uses less digits than its factorization.

81063754752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 81063754752000 in words is "eighty-one trillion, sixty-three billion, seven hundred fifty-four million, seven hundred fifty-two thousand".