88961017600 has 432 divisors, whose sum is σ = 273821696512. Its totient is φ = 27862548480.

The previous prime is 88961017583. The next prime is 88961017601. The reversal of 88961017600 is 671016988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88961017601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59986459 + ... + 59987941.

Almost surely, 2^88961017600 is an apocalyptic number.

88961017600 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 88961017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136910848256).

88961017600 is an abundant number, since it is smaller than the sum of its proper divisors (184860678912).

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

88961017600 is a wasteful number, since it uses less digits than its factorization.

88961017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 88961017600 in words is "eighty-eight billion, nine hundred sixty-one million, seventeen thousand, six hundred".