15855291648 has 432 divisors, whose sum is σ = 55141887360. Its totient is φ = 4401340416.

The previous prime is 15855291637. The next prime is 15855291679. The reversal of 15855291648 is 84619255851.

15855291648 is a `hidden beast` number, since 1 + 58 + 5 + 529 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 15855291594 and 15855291603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217195740 + ... + 217195812.

Almost surely, 2^15855291648 is an apocalyptic number.

15855291648 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 15855291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27570943680).

15855291648 is an abundant number, since it is smaller than the sum of its proper divisors (39286595712).

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

15855291648 is an frugal number, since it uses more digits than its factorization.

15855291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 152 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 15855291648 in words is "fifteen billion, eight hundred fifty-five million, two hundred ninety-one thousand, six hundred forty-eight".