13078050048 has 576 divisors, whose sum is σ = 46340259840. Its totient is φ = 3605575680.

The previous prime is 13078050017. The next prime is 13078050101. The reversal of 13078050048 is 84005087031.

13078050048 is a `hidden beast` number, since 1 + 30 + 7 + 80 + 500 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 13078049994 and 13078050021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184197853 + ... + 184197923.

It is an arithmetic number, because the mean of its divisors is an integer number (80451840).

Almost surely, 2^13078050048 is an apocalyptic number.

13078050048 is a gapful number since it is divisible by the number (18) 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 13078050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170129920).

13078050048 is an abundant number, since it is smaller than the sum of its proper divisors (33262209792).

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

13078050048 is an frugal number, since it uses more digits than its factorization.

13078050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13078050048 in words is "thirteen billion, seventy-eight million, fifty thousand, forty-eight".