88611812352 has 264 divisors, whose sum is σ = 303252995136. Its totient is φ = 25317163008.

The previous prime is 88611812347. The next prime is 88611812357. The reversal of 88611812352 is 25321811688.

88611812352 is a `hidden beast` number, since 8 + 8 + 611 + 8 + 1 + 23 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (88611812347) and next prime (88611812357).

It is a junction number, because it is equal to n+sod(n) for n = 88611812298 and 88611812307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88611812357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716388 + ... + 1767260.

Almost surely, 2^88611812352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88611812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626497568).

88611812352 is an abundant number, since it is smaller than the sum of its proper divisors (214641182784).

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

88611812352 is an equidigital number, since it uses as much as digits as its factorization.

88611812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50915 (or 50885 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

It can be divided in two parts, 886118 and 12352, that added together give a triangular number (898470 = T₁₃₄₀).

The spelling of 88611812352 in words is "eighty-eight billion, six hundred eleven million, eight hundred twelve thousand, three hundred fifty-two".