88086254284800 has 1872 divisors, whose sum is σ = 336837411525888. Its totient is φ = 22808140185600.

The previous prime is 88086254284789. The next prime is 88086254284823. The reversal of 88086254284800 is 848245268088.

88086254284800 is a `hidden beast` number, since 8 + 8 + 0 + 8 + 6 + 2 + 542 + 8 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×88086254284800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128969625259 + ... + 128969625941.

It is an arithmetic number, because the mean of its divisors is an integer number (179934514704).

Almost surely, 2^{88086254284800} is an apocalyptic number.

88086254284800 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 88086254284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168418705762944).

88086254284800 is an abundant number, since it is smaller than the sum of its proper divisors (248751157241088).

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

88086254284800 is an equidigital number, since it uses as much as digits as its factorization.

88086254284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 88086254284800 in words is "eighty-eight trillion, eighty-six billion, two hundred fifty-four million, two hundred eighty-four thousand, eight hundred".