161291894400 has 576 divisors, whose sum is σ = 708351745920. Its totient is φ = 34030264320.

The previous prime is 161291894389. The next prime is 161291894411. The reversal of 161291894400 is 4498192161.

It is a happy number.

161291894400 is a `hidden beast` number, since 1 + 6 + 1 + 29 + 189 + 440 + 0 = 666.

161291894400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161291894389) and next prime (161291894411).

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 2590029 + ... + 2651571.

Almost surely, 2^161291894400 is an apocalyptic number.

161291894400 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 161291894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354175872960).

161291894400 is an abundant number, since it is smaller than the sum of its proper divisors (547059851520).

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

161291894400 is a wasteful number, since it uses less digits than its factorization.

161291894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61593 (or 61573 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 161291894400 in words is "one hundred sixty-one billion, two hundred ninety-one million, eight hundred ninety-four thousand, four hundred".