13398428160 has 960 divisors, whose sum is σ = 54635074560. Its totient is φ = 3105423360.

The previous prime is 13398428081. The next prime is 13398428167. The reversal of 13398428160 is 6182489331.

13398428160 is a `hidden beast` number, since 133 + 98 + 428 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13398428167) 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, 362119662 + ... + 362119698.

It is an arithmetic number, because the mean of its divisors is an integer number (56911536).

Almost surely, 2^13398428160 is an apocalyptic number.

13398428160 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 13398428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27317537280).

13398428160 is an abundant number, since it is smaller than the sum of its proper divisors (41236646400).

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

13398428160 is a wasteful number, since it uses less digits than its factorization.

13398428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13398428160 in words is "thirteen billion, three hundred ninety-eight million, four hundred twenty-eight thousand, one hundred sixty".