161377084800 has 288 divisors, whose sum is σ = 578097519480. Its totient is φ = 42864476160.

The previous prime is 161377084753. The next prime is 161377084861. The reversal of 161377084800 is 8480773161.

161377084800 is a `hidden beast` number, since 161 + 3 + 7 + 7 + 0 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7390699 + ... + 7412501.

Almost surely, 2^161377084800 is an apocalyptic number.

161377084800 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 161377084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289048759740).

161377084800 is an abundant number, since it is smaller than the sum of its proper divisors (416720434680).

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

161377084800 is a wasteful number, since it uses less digits than its factorization.

161377084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22070 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 161377084800 in words is "one hundred sixty-one billion, three hundred seventy-seven million, eighty-four thousand, eight hundred".