88345101600 has 576 divisors, whose sum is σ = 366164064000. Its totient is φ = 20137697280.

The previous prime is 88345101589. The next prime is 88345101601. The reversal of 88345101600 is 610154388.

88345101600 is a `hidden beast` number, since 8 + 8 + 3 + 45 + 1 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88345101601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84217876 + ... + 84218924.

It is an arithmetic number, because the mean of its divisors is an integer number (635701500).

Almost surely, 2^88345101600 is an apocalyptic number.

88345101600 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 88345101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183082032000).

88345101600 is an abundant number, since it is smaller than the sum of its proper divisors (277818962400).

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

88345101600 is a wasteful number, since it uses less digits than its factorization.

88345101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 88345101600 its reverse (610154388), we get a palindrome (88955255988).

The spelling of 88345101600 in words is "eighty-eight billion, three hundred forty-five million, one hundred one thousand, six hundred".