152116908871680 has 936 divisors, whose sum is σ = 579742334511912. Its totient is φ = 38177788133376.

The previous prime is 152116908871589. The next prime is 152116908871727. The reversal of 152116908871680 is 86178809611251.

152116908871680 is a `hidden beast` number, since 1 + 521 + 1 + 6 + 90 + 8 + 8 + 7 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24049843716096 + 128067065155584 = 4904064^2 + 11316672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2284244464 + ... + 2284311056.

It is an arithmetic number, because the mean of its divisors is an integer number (619382836017).

Almost surely, 2^{152116908871680} is an apocalyptic number.

152116908871680 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 152116908871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289871167255956).

152116908871680 is an abundant number, since it is smaller than the sum of its proper divisors (427625425640232).

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

152116908871680 is an frugal number, since it uses more digits than its factorization.

152116908871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66663 (or 66620 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 152116908871680 in words is "one hundred fifty-two trillion, one hundred sixteen billion, nine hundred eight million, eight hundred seventy-one thousand, six hundred eighty".