87844112400 has 720 divisors, whose sum is σ = 323119444032. Its totient is φ = 20366438400.

The previous prime is 87844112347. The next prime is 87844112401. The reversal of 87844112400 is 421144878.

It is not an unprimeable number, because it can be changed into a prime (87844112401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 445909102 + ... + 445909298.

Almost surely, 2^87844112400 is an apocalyptic number.

87844112400 is a gapful number since it is divisible by the number (80) 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 87844112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161559722016).

87844112400 is an abundant number, since it is smaller than the sum of its proper divisors (235275331632).

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

87844112400 is a wasteful number, since it uses less digits than its factorization.

87844112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 87844112400 in words is "eighty-seven billion, eight hundred forty-four million, one hundred twelve thousand, four hundred".