15468435480960 has 1152 divisors, whose sum is σ = 67614133466880. Its totient is φ = 3189552537600.

The previous prime is 15468435480947. The next prime is 15468435480977. The reversal of 15468435480960 is 6908453486451.

15468435480960 is a `hidden beast` number, since 1 + 5 + 4 + 6 + 84 + 3 + 548 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 639100219 + ... + 639124421.

It is an arithmetic number, because the mean of its divisors is an integer number (58692824190).

Almost surely, 2^{15468435480960} is an apocalyptic number.

15468435480960 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 15468435480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807066733440).

15468435480960 is an abundant number, since it is smaller than the sum of its proper divisors (52145697985920).

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

15468435480960 is a wasteful number, since it uses less digits than its factorization.

15468435480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24388 (or 24362 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 15468435480960 in words is "fifteen trillion, four hundred sixty-eight billion, four hundred thirty-five million, four hundred eighty thousand, nine hundred sixty".