88381530900 has 108 divisors (see below), whose sum is σ = 298336807132. Its totient is φ = 21755450880.

The previous prime is 88381530871. The next prime is 88381530907. The reversal of 88381530900 is 903518388.

88381530900 is a `hidden beast` number, since 88 + 38 + 1 + 530 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1146364164 + 87235166736 = 33858^2 + 295356^2 .

It is a super-2 number, since 2×88381530900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88381530907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3765289 + ... + 3788688.

Almost surely, 2^88381530900 is an apocalyptic number.

It is an amenable number.

88381530900 is an abundant number, since it is smaller than the sum of its proper divisors (209955276232).

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

88381530900 is a wasteful number, since it uses less digits than its factorization.

88381530900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554010 (or 7554000 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 88381530900 in words is "eighty-eight billion, three hundred eighty-one million, five hundred thirty thousand, nine hundred".