13380036480 has 192 divisors, whose sum is σ = 47693992320. Its totient is φ = 3452866560.

The previous prime is 13380036451. The next prime is 13380036557. The reversal of 13380036480 is 8463008331.

It is a happy number.

13380036480 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13380036480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141094 + ... + 216026.

It is an arithmetic number, because the mean of its divisors is an integer number (248406210).

Almost surely, 2^13380036480 is an apocalyptic number.

13380036480 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 13380036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846996160).

13380036480 is an abundant number, since it is smaller than the sum of its proper divisors (34313955840).

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

13380036480 is a wasteful number, since it uses less digits than its factorization.

13380036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74989 (or 74974 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13380036480 in words is "thirteen billion, three hundred eighty million, thirty-six thousand, four hundred eighty".