81476557344000 has 2880 divisors, whose sum is σ = 375084059750400. Its totient is φ = 17102521958400.

The previous prime is 81476557343963. The next prime is 81476557344023. The reversal of 81476557344000 is 44375567418.

81476557344000 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 65 + 573 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 52599455226 + ... + 52599456774.

Almost surely, 2^{81476557344000} is an apocalyptic number.

81476557344000 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 81476557344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187542029875200).

81476557344000 is an abundant number, since it is smaller than the sum of its proper divisors (293607502406400).

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

81476557344000 is a wasteful number, since it uses less digits than its factorization.

81476557344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 81476557344000 in words is "eighty-one trillion, four hundred seventy-six billion, five hundred fifty-seven million, three hundred forty-four thousand".