15479318877120 has 1344 divisors, whose sum is σ = 64836607334400. Its totient is φ = 3465695600640.

The previous prime is 15479318877047. The next prime is 15479318877149. The reversal of 15479318877120 is 2177881397451.

15479318877120 is a `hidden beast` number, since 1 + 5 + 479 + 3 + 1 + 88 + 77 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4381350874 + ... + 4381354406.

Almost surely, 2^{15479318877120} is an apocalyptic number.

15479318877120 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 15479318877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32418303667200).

15479318877120 is an abundant number, since it is smaller than the sum of its proper divisors (49357288457280).

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

15479318877120 is a wasteful number, since it uses less digits than its factorization.

15479318877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 15479318877120 in words is "fifteen trillion, four hundred seventy-nine billion, three hundred eighteen million, eight hundred seventy-seven thousand, one hundred twenty".