13350596400 has 540 divisors, whose sum is σ = 50912373096. Its totient is φ = 3228364800.

The previous prime is 13350596393. The next prime is 13350596429. The reversal of 13350596400 is 469505331.

13350596400 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 0 + 5 + 9 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58813087 + ... + 58813313.

Almost surely, 2^13350596400 is an apocalyptic number.

13350596400 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 13350596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456186548).

13350596400 is an abundant number, since it is smaller than the sum of its proper divisors (37561776696).

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

13350596400 is a wasteful number, since it uses less digits than its factorization.

13350596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13350596400 in words is "thirteen billion, three hundred fifty million, five hundred ninety-six thousand, four hundred".