159381581040 has 720 divisors, whose sum is σ = 643507562880. Its totient is φ = 36351037440.

The previous prime is 159381581039. The next prime is 159381581053. The reversal of 159381581040 is 40185183951.

159381581040 is a `hidden beast` number, since 1 + 593 + 8 + 1 + 5 + 8 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61798471 + ... + 61801049.

It is an arithmetic number, because the mean of its divisors is an integer number (893760504).

Almost surely, 2^159381581040 is an apocalyptic number.

159381581040 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 159381581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753781440).

159381581040 is an abundant number, since it is smaller than the sum of its proper divisors (484125981840).

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

159381581040 is a wasteful number, since it uses less digits than its factorization.

159381581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 159381581040 in words is "one hundred fifty-nine billion, three hundred eighty-one million, five hundred eighty-one thousand, forty".