13355479506096 has 240 divisors, whose sum is σ = 46018109277504. Its totient is φ = 3521106671616.

The previous prime is 13355479506071. The next prime is 13355479506121. The reversal of 13355479506096 is 69060597455331.

13355479506096 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 54 + 79 + 506 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13355479506071) and next prime (13355479506121).

It is a super-2 number, since 2×13355479506096² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38049670 + ... + 38399066.

Almost surely, 2^{13355479506096} is an apocalyptic number.

13355479506096 is a gapful number since it is divisible by the number (16) 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 13355479506096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009054638752).

13355479506096 is an abundant number, since it is smaller than the sum of its proper divisors (32662629771408).

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

13355479506096 is a wasteful number, since it uses less digits than its factorization.

13355479506096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352348 (or 352339 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 13355479506096 in words is "thirteen trillion, three hundred fifty-five billion, four hundred seventy-nine million, five hundred six thousand, ninety-six".