158264047219200 has 960 divisors, whose sum is σ = 590555447032320. Its totient is φ = 37097723658240.

The previous prime is 158264047219189. The next prime is 158264047219217. The reversal of 158264047219200 is 2912740462851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868017646 + ... + 868199954.

It is an arithmetic number, because the mean of its divisors is an integer number (615161923992).

Almost surely, 2^{158264047219200} is an apocalyptic number.

158264047219200 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 158264047219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295277723516160).

158264047219200 is an abundant number, since it is smaller than the sum of its proper divisors (432291399813120).

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

158264047219200 is a wasteful number, since it uses less digits than its factorization.

158264047219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182437 (or 182416 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 158264047219200 in words is "one hundred fifty-eight trillion, two hundred sixty-four billion, forty-seven million, two hundred nineteen thousand, two hundred".