81749958868800 has 336 divisors, whose sum is σ = 303059885217600. Its totient is φ = 21430497024000.

The previous prime is 81749958868769. The next prime is 81749958868927. The reversal of 81749958868800 is 886885994718.

81749958868800 is a `hidden beast` number, since 8 + 17 + 499 + 58 + 8 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×81749958868800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81749958868800.

It is a congruent number.

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, 13488151 + ... + 18585750.

It is an arithmetic number, because the mean of its divisors is an integer number (901963944100).

Almost surely, 2^{81749958868800} is an apocalyptic number.

81749958868800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81749958868800 is an abundant number, since it is smaller than the sum of its proper divisors (221309926348800).

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

81749958868800 is a wasteful number, since it uses less digits than its factorization.

81749958868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32073991 (or 32073970 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 81.

The spelling of 81749958868800 in words is "eighty-one trillion, seven hundred forty-nine billion, nine hundred fifty-eight million, eight hundred sixty-eight thousand, eight hundred".