87339110400 has 468 divisors, whose sum is σ = 316378456212. Its totient is φ = 23026728960.

The previous prime is 87339110381. The next prime is 87339110413. The reversal of 87339110400 is 401193378.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 818417664 + 86520692736 = 28608^2 + 294144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89394712 + ... + 89395688.

Almost surely, 2^87339110400 is an apocalyptic number.

87339110400 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 87339110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158189228106).

87339110400 is an abundant number, since it is smaller than the sum of its proper divisors (229039345812).

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

87339110400 is a wasteful number, since it uses less digits than its factorization.

87339110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 87339110400 in words is "eighty-seven billion, three hundred thirty-nine million, one hundred ten thousand, four hundred".