15520643091648 has 560 divisors, whose sum is σ = 49366725162720. Its totient is φ = 4781712890880.

The previous prime is 15520643091631. The next prime is 15520643091659. The reversal of 15520643091648 is 84619034602551.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15520643091648 is a `hidden beast` number, since 1 + 5 + 520 + 64 + 3 + 0 + 9 + 16 + 48 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 15520643091648 = 3116³ + 24928³ = 14022³ + 23370³.

It is a junction number, because it is equal to n+sod(n) for n = 15520643091594 and 15520643091603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378552270508 + ... + 378552270548.

It is an arithmetic number, because the mean of its divisors is an integer number (88154866362).

Almost surely, 2^{15520643091648} is an apocalyptic number.

15520643091648 is a gapful number since it is divisible by the number (18) 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 15520643091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683362581360).

15520643091648 is an abundant number, since it is smaller than the sum of its proper divisors (33846082071072).

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

15520643091648 is an frugal number, since it uses more digits than its factorization.

15520643091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 15520643091648 in words is "fifteen trillion, five hundred twenty billion, six hundred forty-three million, ninety-one thousand, six hundred forty-eight".