13217720275200 has 864 divisors, whose sum is σ = 50557148135424. Its totient is φ = 2978813214720.

The previous prime is 13217720275091. The next prime is 13217720275303. The reversal of 13217720275200 is 257202771231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2850487282 + ... + 2850491918.

Almost surely, 2^{13217720275200} is an apocalyptic number.

13217720275200 is a gapful number since it is divisible by the number (10) 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 13217720275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25278574067712).

13217720275200 is an abundant number, since it is smaller than the sum of its proper divisors (37339427860224).

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

13217720275200 is a wasteful number, since it uses less digits than its factorization.

13217720275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 13217720275200 in words is "thirteen trillion, two hundred seventeen billion, seven hundred twenty million, two hundred seventy-five thousand, two hundred".