13477532913792 has 640 divisors, whose sum is σ = 44587597824000. Its totient is φ = 4021856188416.

The previous prime is 13477532913749. The next prime is 13477532913841. The reversal of 13477532913792 is 29731923577431.

13477532913792 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 7 + 532 + 9 + 1 + 3 + 7 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376039809 + ... + 376075647.

It is an arithmetic number, because the mean of its divisors is an integer number (69668121600).

Almost surely, 2^{13477532913792} is an apocalyptic number.

13477532913792 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 13477532913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293798912000).

13477532913792 is an abundant number, since it is smaller than the sum of its proper divisors (31110064910208).

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

13477532913792 is a wasteful number, since it uses less digits than its factorization.

13477532913792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35990 (or 35969 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The spelling of 13477532913792 in words is "thirteen trillion, four hundred seventy-seven billion, five hundred thirty-two million, nine hundred thirteen thousand, seven hundred ninety-two".