88161510240 has 768 divisors, whose sum is σ = 330064035840. Its totient is φ = 21946982400.

The previous prime is 88161510167. The next prime is 88161510251. The reversal of 88161510240 is 4201516188.

88161510240 is a `hidden beast` number, since 8 + 8 + 1 + 615 + 10 + 24 + 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 = 88161510195 and 88161510204.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 694185057 + ... + 694185183.

It is an arithmetic number, because the mean of its divisors is an integer number (429770880).

Almost surely, 2^88161510240 is an apocalyptic number.

88161510240 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 88161510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165032017920).

88161510240 is an abundant number, since it is smaller than the sum of its proper divisors (241902525600).

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

88161510240 is a wasteful number, since it uses less digits than its factorization.

88161510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 88161510240 in words is "eighty-eight billion, one hundred sixty-one million, five hundred ten thousand, two hundred forty".