13416030208980 has 768 divisors, whose sum is σ = 50514057216000. Its totient is φ = 2925971693568.

The previous prime is 13416030208939. The next prime is 13416030209083. The reversal of 13416030208980 is 8980203061431.

13416030208980 is a `hidden beast` number, since 1 + 34 + 1 + 603 + 0 + 2 + 0 + 8 + 9 + 8 + 0 = 666.

13416030208980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3161918739 + ... + 3161922981.

It is an arithmetic number, because the mean of its divisors is an integer number (65773512000).

Almost surely, 2^{13416030208980} is an apocalyptic number.

13416030208980 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 13416030208980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257028608000).

13416030208980 is an abundant number, since it is smaller than the sum of its proper divisors (37098027007020).

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

13416030208980 is a wasteful number, since it uses less digits than its factorization.

13416030208980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4732 counting only the distinct ones).

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

The spelling of 13416030208980 in words is "thirteen trillion, four hundred sixteen billion, thirty million, two hundred eight thousand, nine hundred eighty".