88640244000 has 2880 divisors, whose sum is σ = 455506571520. Its totient is φ = 16422912000.

The previous prime is 88640243987. The next prime is 88640244013. The reversal of 88640244000 is 44204688.

88640244000 is a `hidden beast` number, since 8 + 8 + 640 + 2 + 4 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88640243987) and next prime (88640244013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4665275991 + ... + 4665276009.

It is an arithmetic number, because the mean of its divisors is an integer number (158162004).

Almost surely, 2^88640244000 is an apocalyptic number.

88640244000 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 88640244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227753285760).

88640244000 is an abundant number, since it is smaller than the sum of its proper divisors (366866327520).

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

88640244000 is a wasteful number, since it uses less digits than its factorization.

88640244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 88640244000 its reverse (44204688), we get a palindrome (88684448688).

The spelling of 88640244000 in words is "eighty-eight billion, six hundred forty million, two hundred forty-four thousand".