161534822400 has 576 divisors, whose sum is σ = 678150345600. Its totient is φ = 36920033280.

The previous prime is 161534822387. The next prime is 161534822429. The reversal of 161534822400 is 4228435161.

It is a happy number.

161534822400 is a `hidden beast` number, since 1 + 6 + 1 + 534 + 82 + 2 + 40 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9668454 + ... + 9685146.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344350).

Almost surely, 2^161534822400 is an apocalyptic number.

161534822400 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 161534822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339075172800).

161534822400 is an abundant number, since it is smaller than the sum of its proper divisors (516615523200).

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

161534822400 is a wasteful number, since it uses less digits than its factorization.

161534822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16741 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 161534822400 in words is "one hundred sixty-one billion, five hundred thirty-four million, eight hundred twenty-two thousand, four hundred".