159905054880 has 480 divisors, whose sum is σ = 610122965760. Its totient is φ = 39303014400.

The previous prime is 159905054839. The next prime is 159905054927. The reversal of 159905054880 is 88450509951.

159905054880 is a `hidden beast` number, since 1 + 5 + 9 + 90 + 5 + 0 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 9102105 + ... + 9119655.

It is an arithmetic number, because the mean of its divisors is an integer number (1271089512).

Almost surely, 2^159905054880 is an apocalyptic number.

159905054880 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 159905054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305061482880).

159905054880 is an abundant number, since it is smaller than the sum of its proper divisors (450217910880).

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

159905054880 is a wasteful number, since it uses less digits than its factorization.

159905054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17634 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 159905054880 in words is "one hundred fifty-nine billion, nine hundred five million, fifty-four thousand, eight hundred eighty".