87448233600 has 1152 divisors, whose sum is σ = 391052887680. Its totient is φ = 18114969600.

The previous prime is 87448233583. The next prime is 87448233617. The reversal of 87448233600 is 633284478.

87448233600 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 8 + 2 + 33 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (87448233583) and next prime (87448233617).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159868527 + ... + 159869073.

Almost surely, 2^87448233600 is an apocalyptic number.

87448233600 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 87448233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195526443840).

87448233600 is an abundant number, since it is smaller than the sum of its proper divisors (303604654080).

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

87448233600 is a wasteful number, since it uses less digits than its factorization.

87448233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 87448233600 in words is "eighty-seven billion, four hundred forty-eight million, two hundred thirty-three thousand, six hundred".