13551132672 has 756 divisors, whose sum is σ = 51667001568. Its totient is φ = 3406233600.

The previous prime is 13551132659. The next prime is 13551132677. The reversal of 13551132672 is 27623115531.

13551132672 is a `hidden beast` number, since 1 + 3 + 551 + 1 + 32 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13551132677) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 437133297 + ... + 437133327.

Almost surely, 2^13551132672 is an apocalyptic number.

13551132672 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 13551132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833500784).

13551132672 is an abundant number, since it is smaller than the sum of its proper divisors (38115868896).

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

13551132672 is a wasteful number, since it uses less digits than its factorization.

13551132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 13551132672 in words is "thirteen billion, five hundred fifty-one million, one hundred thirty-two thousand, six hundred seventy-two".