13550216400 has 360 divisors, whose sum is σ = 53897800320. Its totient is φ = 3088143360.

The previous prime is 13550216387. The next prime is 13550216413. The reversal of 13550216400 is 461205531.

13550216400 is a `hidden beast` number, since 13 + 5 + 5 + 0 + 2 + 1 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13550216387) and next prime (13550216413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12675066 + ... + 12676134.

It is an arithmetic number, because the mean of its divisors is an integer number (149716112).

Almost surely, 2^13550216400 is an apocalyptic number.

13550216400 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 13550216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948900160).

13550216400 is an abundant number, since it is smaller than the sum of its proper divisors (40347583920).

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

13550216400 is a wasteful number, since it uses less digits than its factorization.

13550216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13550216400 in words is "thirteen billion, five hundred fifty million, two hundred sixteen thousand, four hundred".