87555686400 has 1800 divisors, whose sum is σ = 412974297120. Its totient is φ = 17836277760.

The previous prime is 87555686377. The next prime is 87555686417. The reversal of 87555686400 is 468655578.

87555686400 is a `hidden beast` number, since 8 + 7 + 5 + 556 + 86 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3019161586 + ... + 3019161614.

Almost surely, 2^87555686400 is an apocalyptic number.

87555686400 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 87555686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206487148560).

87555686400 is an abundant number, since it is smaller than the sum of its proper divisors (325418610720).

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

87555686400 is a wasteful number, since it uses less digits than its factorization.

87555686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 87555686400 in words is "eighty-seven billion, five hundred fifty-five million, six hundred eighty-six thousand, four hundred".