13332267525672 has 128 divisors (see below), whose sum is σ = 38672419334400. Its totient is φ = 4247769689856.

The previous prime is 13332267525653. The next prime is 13332267525749. The reversal of 13332267525672 is 27652576223331.

13332267525672 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 2 + 6 + 75 + 2 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5843778 + ... + 7798350.

It is an arithmetic number, because the mean of its divisors is an integer number (302128276050).

Almost surely, 2^{13332267525672} is an apocalyptic number.

13332267525672 is a gapful number since it is divisible by the number (12) 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 13332267525672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336209667200).

13332267525672 is an abundant number, since it is smaller than the sum of its proper divisors (25340151808728).

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

13332267525672 is a wasteful number, since it uses less digits than its factorization.

13332267525672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955984 (or 1955974 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 54.

The spelling of 13332267525672 in words is "thirteen trillion, three hundred thirty-two billion, two hundred sixty-seven million, five hundred twenty-five thousand, six hundred seventy-two".