88685020800 has 960 divisors, whose sum is σ = 341587065600. Its totient is φ = 22643712000.

The previous prime is 88685020783. The next prime is 88685020807. The reversal of 88685020800 is 802058688.

88685020800 is a `hidden beast` number, since 8 + 8 + 68 + 502 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (88685020807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1122595161 + ... + 1122595239.

It is an arithmetic number, because the mean of its divisors is an integer number (355819860).

Almost surely, 2^88685020800 is an apocalyptic number.

88685020800 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 88685020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170793532800).

88685020800 is an abundant number, since it is smaller than the sum of its proper divisors (252902044800).

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

88685020800 is a wasteful number, since it uses less digits than its factorization.

88685020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 88685020800 in words is "eighty-eight billion, six hundred eighty-five million, twenty thousand, eight hundred".