159930711040 has 88 divisors (see below), whose sum is σ = 383853964032. Its totient is φ = 63937658880.

The previous prime is 159930710969. The next prime is 159930711053. The reversal of 159930711040 is 40117039951.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 159930710984 and 159930711002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10800922 + ... + 10815718.

It is an arithmetic number, because the mean of its divisors is an integer number (4361976864).

Almost surely, 2^159930711040 is an apocalyptic number.

159930711040 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 159930711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191926982016).

159930711040 is an abundant number, since it is smaller than the sum of its proper divisors (223923252992).

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

159930711040 is a wasteful number, since it uses less digits than its factorization.

159930711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 159930711040 in words is "one hundred fifty-nine billion, nine hundred thirty million, seven hundred eleven thousand, forty".