81565625151360 has 5120 divisors, whose sum is σ = 390181291315200. Its totient is φ = 15794023956480.

The previous prime is 81565625151359. The next prime is 81565625151419. The reversal of 81565625151360 is 6315152656518.

81565625151360 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 5 + 62 + 5 + 1 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81565625151297 and 81565625151306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 176931941530 + ... + 176931941990.

It is an arithmetic number, because the mean of its divisors is an integer number (76207283460).

Almost surely, 2^{81565625151360} is an apocalyptic number.

81565625151360 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 81565625151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195090645657600).

81565625151360 is an abundant number, since it is smaller than the sum of its proper divisors (308615666163840).

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

81565625151360 is a wasteful number, since it uses less digits than its factorization.

81565625151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 81565625151360 in words is "eighty-one trillion, five hundred sixty-five billion, six hundred twenty-five million, one hundred fifty-one thousand, three hundred sixty".