87364598400 has 288 divisors, whose sum is σ = 325293153120. Its totient is φ = 22284134400.

The previous prime is 87364598341. The next prime is 87364598441. The reversal of 87364598400 is 489546378.

87364598400 is a `hidden beast` number, since 8 + 7 + 3 + 6 + 4 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596455 + ... + 728345.

It is an arithmetic number, because the mean of its divisors is an integer number (1129490115).

Almost surely, 2^87364598400 is an apocalyptic number.

87364598400 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 87364598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162646576560).

87364598400 is an abundant number, since it is smaller than the sum of its proper divisors (237928554720).

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

87364598400 is a wasteful number, since it uses less digits than its factorization.

87364598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131944 (or 131924 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 87364598400 in words is "eighty-seven billion, three hundred sixty-four million, five hundred ninety-eight thousand, four hundred".