88113408000 has 384 divisors, whose sum is σ = 302708689920. Its totient is φ = 22732800000.

The previous prime is 88113407957. The next prime is 88113408001. The reversal of 88113408000 is 80431188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88113408001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23806150 + ... + 23809850.

It is an arithmetic number, because the mean of its divisors is an integer number (788303880).

Almost surely, 2^88113408000 is an apocalyptic number.

88113408000 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 88113408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151354344960).

88113408000 is an abundant number, since it is smaller than the sum of its proper divisors (214595281920).

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

88113408000 is a wasteful number, since it uses less digits than its factorization.

88113408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 88113408000 its reverse (80431188), we get a palindrome (88193839188).

The spelling of 88113408000 in words is "eighty-eight billion, one hundred thirteen million, four hundred eight thousand".