87434035200 has 768 divisors, whose sum is σ = 331554672000. Its totient is φ = 22578462720.

The previous prime is 87434035159. The next prime is 87434035223. The reversal of 87434035200 is 253043478.

It is a happy number.

87434035200 is a `hidden beast` number, since 8 + 7 + 43 + 403 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×87434035200² (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1304985567 + ... + 1304985633.

Almost surely, 2^87434035200 is an apocalyptic number.

87434035200 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 87434035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165777336000).

87434035200 is an abundant number, since it is smaller than the sum of its proper divisors (244120636800).

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

87434035200 is an equidigital number, since it uses as much as digits as its factorization.

87434035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 87434035200 its reverse (253043478), we get a palindrome (87687078678).

The spelling of 87434035200 in words is "eighty-seven billion, four hundred thirty-four million, thirty-five thousand, two hundred".