87919603200 has 1200 divisors, whose sum is σ = 382929147216. Its totient is φ = 19641139200.

The previous prime is 87919603193. The next prime is 87919603207. The reversal of 87919603200 is 230691978.

87919603200 is a `hidden beast` number, since 8 + 7 + 9 + 19 + 603 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87919603193) and next prime (87919603207).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87919603207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148262104 + ... + 148262696.

Almost surely, 2^87919603200 is an apocalyptic number.

87919603200 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 87919603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191464573608).

87919603200 is an abundant number, since it is smaller than the sum of its proper divisors (295009544016).

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

87919603200 is a wasteful number, since it uses less digits than its factorization.

87919603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 87919603200 in words is "eighty-seven billion, nine hundred nineteen million, six hundred three thousand, two hundred".