88638750720 has 720 divisors, whose sum is σ = 351528477300. Its totient is φ = 20535312384.

The previous prime is 88638750677. The next prime is 88638750787. The reversal of 88638750720 is 2705783688.

88638750720 is a `hidden beast` number, since 8 + 86 + 38 + 7 + 507 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46905163776 + 41733586944 = 216576^2 + 204288^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5214044152 + ... + 5214044168.

Almost surely, 2^88638750720 is an apocalyptic number.

88638750720 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 88638750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175764238650).

88638750720 is an abundant number, since it is smaller than the sum of its proper divisors (262889726580).

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

88638750720 is an equidigital number, since it uses as much as digits as its factorization.

88638750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 88638750720 in words is "eighty-eight billion, six hundred thirty-eight million, seven hundred fifty thousand, seven hundred twenty".