87587438400 has 1680 divisors, whose sum is σ = 410492155392. Its totient is φ = 17791488000.

The previous prime is 87587438377. The next prime is 87587438423. The reversal of 87587438400 is 483478578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87587438377) and next prime (87587438423).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 668606335 + ... + 668606465.

Almost surely, 2^87587438400 is an apocalyptic number.

87587438400 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 87587438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205246077696).

87587438400 is an abundant number, since it is smaller than the sum of its proper divisors (322904716992).

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

87587438400 is a wasteful number, since it uses less digits than its factorization.

87587438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 87587438400 in words is "eighty-seven billion, five hundred eighty-seven million, four hundred thirty-eight thousand, four hundred".