81711485372400 has 120 divisors (see below), whose sum is σ = 281883672925680. Its totient is φ = 20113596395520.

The previous prime is 81711485372393. The next prime is 81711485372417. The reversal of 81711485372400 is 427358411718.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2618942265 + ... + 2618973464.

It is an arithmetic number, because the mean of its divisors is an integer number (2349030607714).

Almost surely, 2^{81711485372400} is an apocalyptic number.

81711485372400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81711485372400 is an abundant number, since it is smaller than the sum of its proper divisors (200172187553280).

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

81711485372400 is a wasteful number, since it uses less digits than its factorization.

81711485372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237915763 (or 5237915752 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 81711485372400 in words is "eighty-one trillion, seven hundred eleven billion, four hundred eighty-five million, three hundred seventy-two thousand, four hundred".