152543117200960 has 1344 divisors, whose sum is σ = 425391277215744. Its totient is φ = 51922678579200.

The previous prime is 152543117200951. The next prime is 152543117200963. The reversal of 152543117200960 is 69002711345251.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 152543117200960.

It is not an unprimeable number, because it can be changed into a prime (152543117200963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487358201764 + ... + 487358202076.

It is an arithmetic number, because the mean of its divisors is an integer number (316511366976).

Almost surely, 2^{152543117200960} is an apocalyptic number.

152543117200960 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 152543117200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212695638607872).

152543117200960 is an abundant number, since it is smaller than the sum of its proper divisors (272848160014784).

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

152543117200960 is a wasteful number, since it uses less digits than its factorization.

152543117200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 152543117200960 in words is "one hundred fifty-two trillion, five hundred forty-three billion, one hundred seventeen million, two hundred thousand, nine hundred sixty".