13478072155200 has 672 divisors, whose sum is σ = 52066667520000. Its totient is φ = 3385563955200.

The previous prime is 13478072155187. The next prime is 13478072155201. The reversal of 13478072155200 is 255127087431.

13478072155200 is a `hidden beast` number, since 1 + 3 + 4 + 78 + 0 + 7 + 21 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13478072155201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51233601 + ... + 51495999.

It is an arithmetic number, because the mean of its divisors is an integer number (77480160000).

Almost surely, 2^{13478072155200} is an apocalyptic number.

13478072155200 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 13478072155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26033333760000).

13478072155200 is an abundant number, since it is smaller than the sum of its proper divisors (38588595364800).

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

13478072155200 is a wasteful number, since it uses less digits than its factorization.

13478072155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262500 (or 262479 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 13478072155200 in words is "thirteen trillion, four hundred seventy-eight billion, seventy-two million, one hundred fifty-five thousand, two hundred".