13475429065152 has 560 divisors, whose sum is σ = 42109922099520. Its totient is φ = 4252614524928.

The previous prime is 13475429065123. The next prime is 13475429065183. The reversal of 13475429065152 is 25156092457431.

13475429065152 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 5 + 429 + 0 + 65 + 152 = 666.

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

It is a congruent number.

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, 6680925648 + ... + 6680927664.

Almost surely, 2^{13475429065152} is an apocalyptic number.

13475429065152 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 13475429065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054961049760).

13475429065152 is an abundant number, since it is smaller than the sum of its proper divisors (28634493034368).

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

13475429065152 is a wasteful number, since it uses less digits than its factorization.

13475429065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 13475429065152 in words is "thirteen trillion, four hundred seventy-five billion, four hundred twenty-nine million, sixty-five thousand, one hundred fifty-two".