158253419520 has 792 divisors, whose sum is σ = 651715737504. Its totient is φ = 36118462464.

The previous prime is 158253419497. The next prime is 158253419521. The reversal of 158253419520 is 25914352851.

158253419520 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 534 + 1 + 95 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (158253419521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235145904 + ... + 235146576.

Almost surely, 2^158253419520 is an apocalyptic number.

158253419520 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 158253419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325857868752).

158253419520 is an abundant number, since it is smaller than the sum of its proper divisors (493462317984).

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

158253419520 is an frugal number, since it uses more digits than its factorization.

158253419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 158253419520 in words is "one hundred fifty-eight billion, two hundred fifty-three million, four hundred nineteen thousand, five hundred twenty".