88035441958464 has 896 divisors, whose sum is σ = 318858893660160. Its totient is φ = 20695058841600.

The previous prime is 88035441958447. The next prime is 88035441958489. The reversal of 88035441958464 is 46485914453088.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29631584499 + ... + 29631587469.

It is an arithmetic number, because the mean of its divisors is an integer number (355869300960).

Almost surely, 2^{88035441958464} is an apocalyptic number.

88035441958464 is a gapful number since it is divisible by the number (84) 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 88035441958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159429446830080).

88035441958464 is an abundant number, since it is smaller than the sum of its proper divisors (230823451701696).

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

88035441958464 is a wasteful number, since it uses less digits than its factorization.

88035441958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 69.

The spelling of 88035441958464 in words is "eighty-eight trillion, thirty-five billion, four hundred forty-one million, nine hundred fifty-eight thousand, four hundred sixty-four".