161751522240 has 2016 divisors, whose sum is σ = 772888919040. Its totient is φ = 31112294400.

The previous prime is 161751522223. The next prime is 161751522253. The reversal of 161751522240 is 42225157161.

161751522240 is a `hidden beast` number, since 1 + 61 + 7 + 51 + 522 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161751522195 and 161751522204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5217791025 + ... + 5217791055.

It is an arithmetic number, because the mean of its divisors is an integer number (383377440).

Almost surely, 2^161751522240 is an apocalyptic number.

161751522240 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 161751522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386444459520).

161751522240 is an abundant number, since it is smaller than the sum of its proper divisors (611137396800).

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

161751522240 is a wasteful number, since it uses less digits than its factorization.

161751522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 161751522240 in words is "one hundred sixty-one billion, seven hundred fifty-one million, five hundred twenty-two thousand, two hundred forty".