88361102340 has 384 divisors, whose sum is σ = 327500759040. Its totient is φ = 19352908800.

The previous prime is 88361102329. The next prime is 88361102359. The reversal of 88361102340 is 4320116388.

88361102340 is a `hidden beast` number, since 8 + 8 + 3 + 611 + 0 + 2 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88361102295 and 88361102304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12065880 + ... + 12073200.

It is an arithmetic number, because the mean of its divisors is an integer number (852866560).

Almost surely, 2^88361102340 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 88361102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163750379520).

88361102340 is an abundant number, since it is smaller than the sum of its proper divisors (239139656700).

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

88361102340 is a wasteful number, since it uses less digits than its factorization.

88361102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 88361102340 in words is "eighty-eight billion, three hundred sixty-one million, one hundred two thousand, three hundred forty".