88305561600 has 624 divisors, whose sum is σ = 318185358048. Its totient is φ = 21516779520.

The previous prime is 88305561587. The next prime is 88305561613. The reversal of 88305561600 is 616550388.

It is an interprime number because it is at equal distance from previous prime (88305561587) and next prime (88305561613).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193228572 + ... + 193229028.

Almost surely, 2^88305561600 is an apocalyptic number.

88305561600 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 88305561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159092679024).

88305561600 is an abundant number, since it is smaller than the sum of its proper divisors (229879796448).

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

88305561600 is a wasteful number, since it uses less digits than its factorization.

88305561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 88305561600 in words is "eighty-eight billion, three hundred five million, five hundred sixty-one thousand, six hundred".