88268410000 has 75 divisors (see below), whose sum is σ = 213778602543. Its totient is φ = 35295480000.

The previous prime is 88268409989. The next prime is 88268410001. The reversal of 88268410000 is 1486288.

The square root of 88268410000 is 297100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6920243344 + 81348166656 = 83188^2 + 285216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88268410001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29708515 + ... + 29711485.

Almost surely, 2^88268410000 is an apocalyptic number.

88268410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88268410000 is the 297100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88268410000

88268410000 is an abundant number, since it is smaller than the sum of its proper divisors (125510192543).

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

88268410000 is an frugal number, since it uses more digits than its factorization.

88268410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

Adding to 88268410000 its reverse (1486288), we get a palindrome (88269896288).

The spelling of 88268410000 in words is "eighty-eight billion, two hundred sixty-eight million, four hundred ten thousand".