81907829652000 has 288 divisors, whose sum is σ = 294941299790592. Its totient is φ = 19856443200000.

The previous prime is 81907829651929. The next prime is 81907829652001. The reversal of 81907829652000 is 25692870918.

It is a happy number.

It is a super-2 number, since 2×81907829652000² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (81907829652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26753176 + ... + 29657175.

It is an arithmetic number, because the mean of its divisors is an integer number (1024101735384).

Almost surely, 2^{81907829652000} is an apocalyptic number.

81907829652000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81907829652000 is an abundant number, since it is smaller than the sum of its proper divisors (213033470138592).

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

81907829652000 is a wasteful number, since it uses less digits than its factorization.

81907829652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56410401 (or 56410372 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 81907829652000 in words is "eighty-one trillion, nine hundred seven billion, eight hundred twenty-nine million, six hundred fifty-two thousand".