86993222400 has 1296 divisors, whose sum is σ = 377519670528. Its totient is φ = 19408896000.

The previous prime is 86993222387. The next prime is 86993222417. The reversal of 86993222400 is 422239968.

86993222400 is a `hidden beast` number, since 86 + 9 + 9 + 322 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 664070335 + ... + 664070465.

Almost surely, 2^86993222400 is an apocalyptic number.

86993222400 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 86993222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188759835264).

86993222400 is an abundant number, since it is smaller than the sum of its proper divisors (290526448128).

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

86993222400 is a wasteful number, since it uses less digits than its factorization.

86993222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 86993222400 in words is "eighty-six billion, nine hundred ninety-three million, two hundred twenty-two thousand, four hundred".