88255619600 has 90 divisors (see below), whose sum is σ = 212809942350. Its totient is φ = 35173376000.

The previous prime is 88255619563. The next prime is 88255619689. The reversal of 88255619600 is 691655288.

It can be written as a sum of positive squares in 9 ways, for example, as 471410944 + 87784208656 = 21712^2 + 296284^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125899250 + ... + 125899950.

It is an arithmetic number, because the mean of its divisors is an integer number (2364554915).

Almost surely, 2^88255619600 is an apocalyptic number.

88255619600 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 88255619600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106404971175).

88255619600 is an abundant number, since it is smaller than the sum of its proper divisors (124554322750).

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

88255619600 is an equidigital number, since it uses as much as digits as its factorization.

88255619600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 88255619600 in words is "eighty-eight billion, two hundred fifty-five million, six hundred nineteen thousand, six hundred".