88249824020 has 192 divisors, whose sum is σ = 205922304000. Its totient is φ = 31637039616.

The previous prime is 88249823999. The next prime is 88249824037. The reversal of 88249824020 is 2042894288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145386557 + ... + 145387163.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512000).

Almost surely, 2^88249824020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88249824020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152000).

88249824020 is an abundant number, since it is smaller than the sum of its proper divisors (117672479980).

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

88249824020 is a wasteful number, since it uses less digits than its factorization.

88249824020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 88249824020 in words is "eighty-eight billion, two hundred forty-nine million, eight hundred twenty-four thousand, twenty".