15105163560960 has 384 divisors, whose sum is σ = 53261477942400. Its totient is φ = 3624098856960.

The previous prime is 15105163560841. The next prime is 15105163560997. The reversal of 15105163560960 is 6906536150151.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×15105163560960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 32547826 + ... + 33008654.

It is an arithmetic number, because the mean of its divisors is an integer number (138701765475).

Almost surely, 2^{15105163560960} is an apocalyptic number.

15105163560960 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 15105163560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630738971200).

15105163560960 is an abundant number, since it is smaller than the sum of its proper divisors (38156314381440).

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

15105163560960 is a wasteful number, since it uses less digits than its factorization.

15105163560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460967 (or 460947 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 48.

The spelling of 15105163560960 in words is "fifteen trillion, one hundred five billion, one hundred sixty-three million, five hundred sixty thousand, nine hundred sixty".