81511880041152 has 336 divisors, whose sum is σ = 265081199884800. Its totient is φ = 23728766330880.

The previous prime is 81511880041129. The next prime is 81511880041211. The reversal of 81511880041152 is 25114008811518.

81511880041152 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 188 + 0 + 0 + 411 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81511880041098 and 81511880041107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16319499 + ... + 20720757.

Almost surely, 2^{81511880041152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81511880041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132540599942400).

81511880041152 is an abundant number, since it is smaller than the sum of its proper divisors (183569319843648).

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

81511880041152 is a wasteful number, since it uses less digits than its factorization.

81511880041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401404 (or 4401391 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 45.

The spelling of 81511880041152 in words is "eighty-one trillion, five hundred eleven billion, eight hundred eighty million, forty-one thousand, one hundred fifty-two".