161887002235680 has 768 divisors, whose sum is σ = 565724839680000. Its totient is φ = 38748105768960.

The previous prime is 161887002235537. The next prime is 161887002235687. The reversal of 161887002235680 is 86532200788161.

It is a super-2 number, since 2×161887002235680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 161887002235680.

It is not an unprimeable number, because it can be changed into a prime (161887002235687) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8910057636 + ... + 8910075804.

It is an arithmetic number, because the mean of its divisors is an integer number (736620885000).

Almost surely, 2^{161887002235680} is an apocalyptic number.

161887002235680 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 161887002235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282862419840000).

161887002235680 is an abundant number, since it is smaller than the sum of its proper divisors (403837837444320).

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

161887002235680 is a wasteful number, since it uses less digits than its factorization.

161887002235680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18865 (or 18857 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 161887002235680 in words is "one hundred sixty-one trillion, eight hundred eighty-seven billion, two million, two hundred thirty-five thousand, six hundred eighty".