161063960400 has 540 divisors, whose sum is σ = 656964443772. Its totient is φ = 36431216640.

The previous prime is 161063960329. The next prime is 161063960419. The reversal of 161063960400 is 4069360161.

161063960400 is a `hidden beast` number, since 1 + 6 + 10 + 6 + 39 + 604 + 0 + 0 = 666.

161063960400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6652686096 + 154411274304 = 81564^2 + 392952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17106094 + ... + 17115506.

Almost surely, 2^161063960400 is an apocalyptic number.

161063960400 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 161063960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328482221886).

161063960400 is an abundant number, since it is smaller than the sum of its proper divisors (495900483372).

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

161063960400 is a wasteful number, since it uses less digits than its factorization.

161063960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 161063960400 in words is "one hundred sixty-one billion, sixty-three million, nine hundred sixty thousand, four hundred".