88573201920 has 800 divisors, whose sum is σ = 366001574400. Its totient is φ = 20053868544.

The previous prime is 88573201907. The next prime is 88573201931. The reversal of 88573201920 is 2910237588.

It is a happy number.

It is a super-2 number, since 2×88573201920² (a number of 23 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 201761061 + ... + 201761499.

It is an arithmetic number, because the mean of its divisors is an integer number (457501968).

Almost surely, 2^88573201920 is an apocalyptic number.

88573201920 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 88573201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183000787200).

88573201920 is an abundant number, since it is smaller than the sum of its proper divisors (277428372480).

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

88573201920 is a wasteful number, since it uses less digits than its factorization.

88573201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 88573201920 in words is "eighty-eight billion, five hundred seventy-three million, two hundred one thousand, nine hundred twenty".