88096207011840 has 1408 divisors, whose sum is σ = 332816936417280. Its totient is φ = 22063985197056.

The previous prime is 88096207011829. The next prime is 88096207011847. The reversal of 88096207011840 is 4811070269088.

88096207011840 is a `hidden beast` number, since 8 + 8 + 0 + 9 + 620 + 7 + 0 + 1 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88096207011847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540467527599 + ... + 540467527761.

Almost surely, 2^{88096207011840} is an apocalyptic number.

88096207011840 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 88096207011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166408468208640).

88096207011840 is an abundant number, since it is smaller than the sum of its proper divisors (244720729405440).

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

88096207011840 is an frugal number, since it uses more digits than its factorization.

88096207011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 88096207011840 in words is "eighty-eight trillion, ninety-six billion, two hundred seven million, eleven thousand, eight hundred forty".