152855856216 has 640 divisors, whose sum is σ = 546974208000. Its totient is φ = 38875085568.

The previous prime is 152855856191. The next prime is 152855856221. The reversal of 152855856216 is 612658558251.

It is a happy number.

152855856216 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 5 + 5 + 8 + 5 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116951035 + ... + 116952341.

It is an arithmetic number, because the mean of its divisors is an integer number (854647200).

Almost surely, 2^152855856216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152855856216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273487104000).

152855856216 is an abundant number, since it is smaller than the sum of its proper divisors (394118351784).

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

152855856216 is a wasteful number, since it uses less digits than its factorization.

152855856216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1420 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 54.

The spelling of 152855856216 in words is "one hundred fifty-two billion, eight hundred fifty-five million, eight hundred fifty-six thousand, two hundred sixteen".