15505429954560 has 1632 divisors, whose sum is σ = 62632224921600. Its totient is φ = 3206453133312.

The previous prime is 15505429954543. The next prime is 15505429954601. The reversal of 15505429954560 is 6545992450551.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 15505429954494 and 15505429954503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77916733341 + ... + 77916733539.

It is an arithmetic number, because the mean of its divisors is an integer number (38377588800).

Almost surely, 2^{15505429954560} is an apocalyptic number.

15505429954560 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 15505429954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31316112460800).

15505429954560 is an abundant number, since it is smaller than the sum of its proper divisors (47126794967040).

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

15505429954560 is an equidigital number, since it uses as much as digits as its factorization.

15505429954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 60.

The spelling of 15505429954560 in words is "fifteen trillion, five hundred five billion, four hundred twenty-nine million, nine hundred fifty-four thousand, five hundred sixty".