88950205920 has 384 divisors, whose sum is σ = 298657497600. Its totient is φ = 22214320128.

The previous prime is 88950205919. The next prime is 88950205933. The reversal of 88950205920 is 2950205988.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88950205920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103550451 + ... + 103551309.

It is an arithmetic number, because the mean of its divisors is an integer number (777753900).

Almost surely, 2^88950205920 is an apocalyptic number.

88950205920 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 88950205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328748800).

88950205920 is an abundant number, since it is smaller than the sum of its proper divisors (209707291680).

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

88950205920 is a wasteful number, since it uses less digits than its factorization.

88950205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 88950205920 in words is "eighty-eight billion, nine hundred fifty million, two hundred five thousand, nine hundred twenty".