81125062560 has 288 divisors, whose sum is σ = 279388025280. Its totient is φ = 21435187200.

The previous prime is 81125062553. The next prime is 81125062607. The reversal of 81125062560 is 6526052118.

81125062560 is a `hidden beast` number, since 8 + 1 + 1 + 25 + 0 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126559840 + ... + 126560480.

It is an arithmetic number, because the mean of its divisors is an integer number (970097310).

Almost surely, 2^81125062560 is an apocalyptic number.

81125062560 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 81125062560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139694012640).

81125062560 is an abundant number, since it is smaller than the sum of its proper divisors (198262962720).

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

81125062560 is a wasteful number, since it uses less digits than its factorization.

81125062560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 81125062560 in words is "eighty-one billion, one hundred twenty-five million, sixty-two thousand, five hundred sixty".