158505765696960 has 672 divisors, whose sum is σ = 562508295831552. Its totient is φ = 37777259520000.

The previous prime is 158505765696917. The next prime is 158505765696977. The reversal of 158505765696960 is 69696567505851.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19351206465 + ... + 19351214655.

It is an arithmetic number, because the mean of its divisors is an integer number (837065916416).

Almost surely, 2^{158505765696960} is an apocalyptic number.

158505765696960 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 158505765696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281254147915776).

158505765696960 is an abundant number, since it is smaller than the sum of its proper divisors (404002530134592).

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

158505765696960 is a wasteful number, since it uses less digits than its factorization.

158505765696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 3674160000, while the sum is 78.

The spelling of 158505765696960 in words is "one hundred fifty-eight trillion, five hundred five billion, seven hundred sixty-five million, six hundred ninety-six thousand, nine hundred sixty".