161553450240 has 720 divisors, whose sum is σ = 711509597568. Its totient is φ = 34084012032.

The previous prime is 161553450229. The next prime is 161553450277. The reversal of 161553450240 is 42054355161.

161553450240 is a `hidden beast` number, since 1 + 61 + 5 + 53 + 4 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 161553450195 and 161553450204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9426319 + ... + 9443441.

Almost surely, 2^161553450240 is an apocalyptic number.

161553450240 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 161553450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355754798784).

161553450240 is an abundant number, since it is smaller than the sum of its proper divisors (549956147328).

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

161553450240 is a wasteful number, since it uses less digits than its factorization.

161553450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 161553450240 in words is "one hundred sixty-one billion, five hundred fifty-three million, four hundred fifty thousand, two hundred forty".