13609358078400 has 5376 divisors, whose sum is σ = 66942858240000. Its totient is φ = 2703868231680.

The previous prime is 13609358078357. The next prime is 13609358078419. The reversal of 13609358078400 is 487085390631.

13609358078400 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 93 + 5 + 80 + 78 + 400 = 666.

It is a super-2 number, since 2×13609358078400² (a number of 27 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 469288209586 + ... + 469288209614.

Almost surely, 2^{13609358078400} is an apocalyptic number.

13609358078400 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 13609358078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33471429120000).

13609358078400 is an abundant number, since it is smaller than the sum of its proper divisors (53333500161600).

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

13609358078400 is an equidigital number, since it uses as much as digits as its factorization.

13609358078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13609358078400 in words is "thirteen trillion, six hundred nine billion, three hundred fifty-eight million, seventy-eight thousand, four hundred".