87169996800 has 360 divisors, whose sum is σ = 322874451900. Its totient is φ = 23244226560.

The previous prime is 87169996787. The next prime is 87169996829. The reversal of 87169996800 is 869996178.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×87169996800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4136691 + ... + 4157709.

Almost surely, 2^87169996800 is an apocalyptic number.

87169996800 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 87169996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161437225950).

87169996800 is an abundant number, since it is smaller than the sum of its proper divisors (235704455100).

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

87169996800 is a wasteful number, since it uses less digits than its factorization.

87169996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21063 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 87169996800 in words is "eighty-seven billion, one hundred sixty-nine million, nine hundred ninety-six thousand, eight hundred".