81547462760400 has 720 divisors, whose sum is σ = 348358833746560. Its totient is φ = 17202627072000.

The previous prime is 81547462760341. The next prime is 81547462760447. The reversal of 81547462760400 is 406726474518.

81547462760400 is a `hidden beast` number, since 8 + 1 + 5 + 4 + 7 + 4 + 6 + 27 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2237162175 + ... + 2237198625.

Almost surely, 2^{81547462760400} is an apocalyptic number.

81547462760400 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 81547462760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174179416873280).

81547462760400 is an abundant number, since it is smaller than the sum of its proper divisors (266811370986160).

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

81547462760400 is a wasteful number, since it uses less digits than its factorization.

81547462760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43324 (or 43310 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 81547462760400 in words is "eighty-one trillion, five hundred forty-seven billion, four hundred sixty-two million, seven hundred sixty thousand, four hundred".