88293240000 has 1400 divisors, whose sum is σ = 397493886240. Its totient is φ = 18911232000.

The previous prime is 88293239941. The next prime is 88293240001. The reversal of 88293240000 is 4239288.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88293240001) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 385559886 + ... + 385560114.

Almost surely, 2^88293240000 is an apocalyptic number.

88293240000 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 88293240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198746943120).

88293240000 is an abundant number, since it is smaller than the sum of its proper divisors (309200646240).

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

88293240000 is a wasteful number, since it uses less digits than its factorization.

88293240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 88293240000 its reverse (4239288), we get a palindrome (88297479288).

The spelling of 88293240000 in words is "eighty-eight billion, two hundred ninety-three million, two hundred forty thousand".