88134540375440 has 480 divisors, whose sum is σ = 236227105497600. Its totient is φ = 30390255267840.

The previous prime is 88134540375437. The next prime is 88134540375451. The reversal of 88134540375440 is 4457304543188.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21918560630 + ... + 21918564650.

It is an arithmetic number, because the mean of its divisors is an integer number (492139803120).

Almost surely, 2^{88134540375440} is an apocalyptic number.

88134540375440 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 88134540375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118113552748800).

88134540375440 is an abundant number, since it is smaller than the sum of its proper divisors (148092565122160).

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

88134540375440 is a wasteful number, since it uses less digits than its factorization.

88134540375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 56.

The spelling of 88134540375440 in words is "eighty-eight trillion, one hundred thirty-four billion, five hundred forty million, three hundred seventy-five thousand, four hundred forty".