15416491484160 has 1980 divisors, whose sum is σ = 63502994706228. Its totient is φ = 3554706456576.

The previous prime is 15416491484083. The next prime is 15416491484161. The reversal of 15416491484160 is 6148419461451.

It is a happy number.

15416491484160 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 64 + 91 + 484 + 16 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4887141433344 + 10529350050816 = 2210688^2 + 3244896^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 15416491484097 and 15416491484106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15416491484161) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 173219005396 + ... + 173219005484.

Almost surely, 2^{15416491484160} is an apocalyptic number.

15416491484160 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 15416491484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31751497353114).

15416491484160 is an abundant number, since it is smaller than the sum of its proper divisors (48086503222068).

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

15416491484160 is an equidigital number, since it uses as much as digits as its factorization.

15416491484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 15416491484160 in words is "fifteen trillion, four hundred sixteen billion, four hundred ninety-one million, four hundred eighty-four thousand, one hundred sixty".