161024728400 has 240 divisors, whose sum is σ = 402269003136. Its totient is φ = 61900800000.

The previous prime is 161024728373. The next prime is 161024728429. The reversal of 161024728400 is 4827420161.

It is a congruent number.

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, 517764245 + ... + 517764555.

Almost surely, 2^161024728400 is an apocalyptic number.

161024728400 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 161024728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201134501568).

161024728400 is an abundant number, since it is smaller than the sum of its proper divisors (241244274736).

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

161024728400 is a wasteful number, since it uses less digits than its factorization.

161024728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 161024728400 in words is "one hundred sixty-one billion, twenty-four million, seven hundred twenty-eight thousand, four hundred".