81733517628000 has 576 divisors, whose sum is σ = 311668701559488. Its totient is φ = 18670314700800.

The previous prime is 81733517627981. The next prime is 81733517628017. The reversal of 81733517628000 is 82671533718.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962513544 + ... + 962598456.

It is an arithmetic number, because the mean of its divisors is an integer number (541091495763).

Almost surely, 2^{81733517628000} is an apocalyptic number.

81733517628000 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 81733517628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155834350779744).

81733517628000 is an abundant number, since it is smaller than the sum of its proper divisors (229935183931488).

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

81733517628000 is a wasteful number, since it uses less digits than its factorization.

81733517628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86592 (or 86567 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 81733517628000 in words is "eighty-one trillion, seven hundred thirty-three billion, five hundred seventeen million, six hundred twenty-eight thousand".