161288975520 has 384 divisors, whose sum is σ = 578013408000. Its totient is φ = 42518919168.

The previous prime is 161288975513. The next prime is 161288975567. The reversal of 161288975520 is 25579882161.

161288975520 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 8 + 89 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31140291 + ... + 31145469.

It is an arithmetic number, because the mean of its divisors is an integer number (1505243250).

Almost surely, 2^161288975520 is an apocalyptic number.

161288975520 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 161288975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289006704000).

161288975520 is an abundant number, since it is smaller than the sum of its proper divisors (416724432480).

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

161288975520 is an frugal number, since it uses more digits than its factorization.

161288975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 161288975520 in words is "one hundred sixty-one billion, two hundred eighty-eight million, nine hundred seventy-five thousand, five hundred twenty".