88242834435840 has 1728 divisors, whose sum is σ = 363658014720000. Its totient is φ = 19742891212800.

The previous prime is 88242834435817. The next prime is 88242834435859. The reversal of 88242834435840 is 4853443824288.

88242834435840 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 2 + 8 + 3 + 4 + 43 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41801436385 + ... + 41801438495.

It is an arithmetic number, because the mean of its divisors is an integer number (210450240000).

Almost surely, 2^{88242834435840} is an apocalyptic number.

88242834435840 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 88242834435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181829007360000).

88242834435840 is an abundant number, since it is smaller than the sum of its proper divisors (275415180284160).

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

88242834435840 is a wasteful number, since it uses less digits than its factorization.

88242834435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 63.

The spelling of 88242834435840 in words is "eighty-eight trillion, two hundred forty-two billion, eight hundred thirty-four million, four hundred thirty-five thousand, eight hundred forty".