81572142416352 has 96 divisors (see below), whose sum is σ = 244759606156800. Its totient is φ = 23302214128128.

The previous prime is 81572142416321. The next prime is 81572142416363. The reversal of 81572142416352 is 25361424127518.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×81572142416352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81572142416295 and 81572142416304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6896652 + ... + 14515787.

It is an arithmetic number, because the mean of its divisors is an integer number (2549579230800).

Almost surely, 2^{81572142416352} is an apocalyptic number.

It is an amenable number.

81572142416352 is an abundant number, since it is smaller than the sum of its proper divisors (163187463740448).

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

81572142416352 is a wasteful number, since it uses less digits than its factorization.

81572142416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418128 (or 21418120 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 81572142416352 in words is "eighty-one trillion, five hundred seventy-two billion, one hundred forty-two million, four hundred sixteen thousand, three hundred fifty-two".