158502938711040 has 7040 divisors, whose sum is σ = 802043636613120. Its totient is φ = 29135559720960.

The previous prime is 158502938710999. The next prime is 158502938711063. The reversal of 158502938711040 is 40117839205851.

158502938711040 is a `hidden beast` number, since 1 + 5 + 8 + 502 + 9 + 3 + 87 + 1 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

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

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 639 ways as a sum of consecutive naturals, for example, 1248054635457 + ... + 1248054635583.

It is an arithmetic number, because the mean of its divisors is an integer number (113926652928).

Almost surely, 2^{158502938711040} is an apocalyptic number.

158502938711040 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 158502938711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401021818306560).

158502938711040 is an abundant number, since it is smaller than the sum of its proper divisors (643540697902080).

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

158502938711040 is a wasteful number, since it uses less digits than its factorization.

158502938711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 158502938711040 in words is "one hundred fifty-eight trillion, five hundred two billion, nine hundred thirty-eight million, seven hundred eleven thousand, forty".