152873361864960 has 432 divisors, whose sum is σ = 544218430976640. Its totient is φ = 36538226278400.

The previous prime is 152873361864907. The next prime is 152873361864991. The reversal of 152873361864960 is 69468163378251.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30672436 + ... + 35306444.

It is an arithmetic number, because the mean of its divisors is an integer number (1259764886520).

It is a 1-persistent number, because it is pandigital, but 2⋅152873361864960 = 305746723729920 is not.

Almost surely, 2^{152873361864960} is an apocalyptic number.

152873361864960 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 152873361864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272109215488320).

152873361864960 is an abundant number, since it is smaller than the sum of its proper divisors (391345069111680).

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

152873361864960 is a wasteful number, since it uses less digits than its factorization.

152873361864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634126 (or 4634101 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 152873361864960 in words is "one hundred fifty-two trillion, eight hundred seventy-three billion, three hundred sixty-one million, eight hundred sixty-four thousand, nine hundred sixty".