88487380800 has 2016 divisors, whose sum is σ = 417951416064. Its totient is φ = 17915904000.

The previous prime is 88487380789. The next prime is 88487380801. The reversal of 88487380800 is 808378488.

88487380800 is a `hidden beast` number, since 8 + 8 + 487 + 3 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88487380801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1450612770 + ... + 1450612830.

Almost surely, 2^88487380800 is an apocalyptic number.

88487380800 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 88487380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208975708032).

88487380800 is an abundant number, since it is smaller than the sum of its proper divisors (329464035264).

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

88487380800 is a wasteful number, since it uses less digits than its factorization.

88487380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 88487380800 in words is "eighty-eight billion, four hundred eighty-seven million, three hundred eighty thousand, eight hundred".