161526750852096 has 1980 divisors, whose sum is σ = 584219158874052. Its totient is φ = 42966924263424.

The previous prime is 161526750852043. The next prime is 161526750852101. The reversal of 161526750852096 is 690258057625161.

161526750852096 is a `hidden beast` number, since 1 + 6 + 1 + 52 + 6 + 7 + 50 + 8 + 520 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57713801241600 + 103812949610496 = 7596960^2 + 10188864^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 179 ways as a sum of consecutive naturals, for example, 583129064310 + ... + 583129064586.

Almost surely, 2^{161526750852096} is an apocalyptic number.

161526750852096 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 161526750852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292109579437026).

161526750852096 is an abundant number, since it is smaller than the sum of its proper divisors (422692408021956).

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

161526750852096 is an equidigital number, since it uses as much as digits as its factorization.

161526750852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 161526750852096 in words is "one hundred sixty-one trillion, five hundred twenty-six billion, seven hundred fifty million, eight hundred fifty-two thousand, ninety-six".