153242577772416 has 768 divisors, whose sum is σ = 503429701824000. Its totient is φ = 45850422435840.

The previous prime is 153242577772397. The next prime is 153242577772429. The reversal of 153242577772416 is 614277775242351.

153242577772416 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 42 + 577 + 7 + 7 + 2 + 4 + 16 = 666.

153242577772416 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30630134971 + ... + 30630139973.

It is an arithmetic number, because the mean of its divisors is an integer number (655507424250).

Almost surely, 2^{153242577772416} is an apocalyptic number.

153242577772416 is a gapful number since it is divisible by the number (16) 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 153242577772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251714850912000).

153242577772416 is an abundant number, since it is smaller than the sum of its proper divisors (350187124051584).

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

153242577772416 is a wasteful number, since it uses less digits than its factorization.

153242577772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5931 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 63.

The spelling of 153242577772416 in words is "one hundred fifty-three trillion, two hundred forty-two billion, five hundred seventy-seven million, seven hundred seventy-two thousand, four hundred sixteen".