81114756302880 has 480 divisors, whose sum is σ = 287695553169024. Its totient is φ = 21522957410304.

The previous prime is 81114756302849. The next prime is 81114756302891. The reversal of 81114756302880 is 8820365741118.

81114756302880 is a `hidden beast` number, since 8 + 1 + 11 + 47 + 563 + 0 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×81114756302880² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2196844099 + ... + 2196881021.

Almost surely, 2^{81114756302880} is an apocalyptic number.

81114756302880 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 81114756302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143847776584512).

81114756302880 is an abundant number, since it is smaller than the sum of its proper divisors (206580796866144).

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

81114756302880 is a wasteful number, since it uses less digits than its factorization.

81114756302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37790 (or 37773 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 81114756302880 in words is "eighty-one trillion, one hundred fourteen billion, seven hundred fifty-six million, three hundred two thousand, eight hundred eighty".