87323522400 has 432 divisors, whose sum is σ = 318169667088. Its totient is φ = 22519296000.

The previous prime is 87323522383. The next prime is 87323522411. The reversal of 87323522400 is 422532378.

87323522400 is a `hidden beast` number, since 8 + 73 + 23 + 522 + 40 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48217495 + ... + 48219305.

It is an arithmetic number, because the mean of its divisors is an integer number (736503859).

Almost surely, 2^87323522400 is an apocalyptic number.

87323522400 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 87323522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159084833544).

87323522400 is an abundant number, since it is smaller than the sum of its proper divisors (230846144688).

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

87323522400 is a wasteful number, since it uses less digits than its factorization.

87323522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2039 counting only the distinct ones).

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

The spelling of 87323522400 in words is "eighty-seven billion, three hundred twenty-three million, five hundred twenty-two thousand, four hundred".