161213257284800 has 252 divisors, whose sum is σ = 461503463762880. Its totient is φ = 55266752378880.

The previous prime is 161213257284799. The next prime is 161213257284809. The reversal of 161213257284800 is 8482752312161.

It is a super-2 number, since 2×161213257284800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (161213257284809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 707759729 + ... + 707987471.

It is an arithmetic number, because the mean of its divisors is an integer number (1831362951440).

Almost surely, 2^{161213257284800} is an apocalyptic number.

161213257284800 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 161213257284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230751731881440).

161213257284800 is an abundant number, since it is smaller than the sum of its proper divisors (300290206478080).

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

161213257284800 is a wasteful number, since it uses less digits than its factorization.

161213257284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236808 (or 236786 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 161213257284800 in words is "one hundred sixty-one trillion, two hundred thirteen billion, two hundred fifty-seven million, two hundred eighty-four thousand, eight hundred".