161753922540 has 768 divisors, whose sum is σ = 635185152000. Its totient is φ = 34025951232.

The previous prime is 161753922529. The next prime is 161753922563. The reversal of 161753922540 is 45229357161.

161753922540 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 5 + 392 + 254 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147990234 + ... + 147991326.

It is an arithmetic number, because the mean of its divisors is an integer number (827064000).

Almost surely, 2^161753922540 is an apocalyptic number.

161753922540 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 161753922540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317592576000).

161753922540 is an abundant number, since it is smaller than the sum of its proper divisors (473431229460).

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

161753922540 is a wasteful number, since it uses less digits than its factorization.

161753922540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 161753922540 in words is "one hundred sixty-one billion, seven hundred fifty-three million, nine hundred twenty-two thousand, five hundred forty".