153957096216 has 1152 divisors, whose sum is σ = 591566976000. Its totient is φ = 35227146240.

The previous prime is 153957096211. The next prime is 153957096247. The reversal of 153957096216 is 612690759351.

153957096216 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 5 + 7 + 0 + 9 + 621 + 6 = 666.

153957096216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153957096211) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1412450370 + ... + 1412450478.

It is an arithmetic number, because the mean of its divisors is an integer number (513513000).

Almost surely, 2^153957096216 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 153957096216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488000).

153957096216 is an abundant number, since it is smaller than the sum of its proper divisors (437609879784).

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

153957096216 is a wasteful number, since it uses less digits than its factorization.

153957096216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 153957096216 in words is "one hundred fifty-three billion, nine hundred fifty-seven million, ninety-six thousand, two hundred sixteen".