87492787200 has 1584 divisors, whose sum is σ = 401332527360. Its totient is φ = 18287493120.

The previous prime is 87492787181. The next prime is 87492787201. The reversal of 87492787200 is 278729478.

87492787200 is a `hidden beast` number, since 87 + 492 + 7 + 8 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87492787201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 817689547 + ... + 817689653.

Almost surely, 2^87492787200 is an apocalyptic number.

87492787200 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 87492787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200666263680).

87492787200 is an abundant number, since it is smaller than the sum of its proper divisors (313839740160).

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

87492787200 is a wasteful number, since it uses less digits than its factorization.

87492787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 87492787200 in words is "eighty-seven billion, four hundred ninety-two million, seven hundred eighty-seven thousand, two hundred".