88300411542 has 96 divisors (see below), whose sum is σ = 219769355520. Its totient is φ = 25099657920.

The previous prime is 88300411517. The next prime is 88300411543. The reversal of 88300411542 is 24511400388.

88300411542 is a `hidden beast` number, since 88 + 30 + 0 + 4 + 1 + 1 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88300411497 and 88300411506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88300411543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32909733 + ... + 32912415.

It is an arithmetic number, because the mean of its divisors is an integer number (2289264120).

Almost surely, 2^88300411542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88300411542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109884677760).

88300411542 is an abundant number, since it is smaller than the sum of its proper divisors (131468943978).

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

88300411542 is a wasteful number, since it uses less digits than its factorization.

88300411542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 88300411542 in words is "eighty-eight billion, three hundred million, four hundred eleven thousand, five hundred forty-two".