13878720472104 has 320 divisors, whose sum is σ = 41215476576000. Its totient is φ = 4327275936672.

The previous prime is 13878720472103. The next prime is 13878720472151. The reversal of 13878720472104 is 40127402787831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13878720472104 is a `hidden beast` number, since 1 + 3 + 87 + 87 + 2 + 0 + 472 + 10 + 4 = 666.

It is a super-3 number, since 3×13878720472104³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13878720472104 = 3002³ + 24016³ = 13509³ + 22515³.

It is not an unprimeable number, because it can be changed into a prime (13878720472103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175680005937 + ... + 175680006015.

It is an arithmetic number, because the mean of its divisors is an integer number (128798364300).

Almost surely, 2^{13878720472104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13878720472104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607738288000).

13878720472104 is an abundant number, since it is smaller than the sum of its proper divisors (27336756103896).

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

13878720472104 is an frugal number, since it uses more digits than its factorization.

13878720472104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 13878720472104 in words is "thirteen trillion, eight hundred seventy-eight billion, seven hundred twenty million, four hundred seventy-two thousand, one hundred four".