158540405760 has 880 divisors, whose sum is σ = 647140741632. Its totient is φ = 36738662400.

The previous prime is 158540405759. The next prime is 158540405761. The reversal of 158540405760 is 67504045851.

158540405760 is a `hidden beast` number, since 1 + 5 + 8 + 540 + 40 + 5 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (158540405759) and next prime (158540405761).

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158540405761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 104923405 + ... + 104924915.

Almost surely, 2^158540405760 is an apocalyptic number.

158540405760 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 158540405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323570370816).

158540405760 is an abundant number, since it is smaller than the sum of its proper divisors (488600335872).

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

158540405760 is a wasteful number, since it uses less digits than its factorization.

158540405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 158540405760 in words is "one hundred fifty-eight billion, five hundred forty million, four hundred five thousand, seven hundred sixty".