88176372480 has 864 divisors, whose sum is σ = 372749465088. Its totient is φ = 18785894400.

The previous prime is 88176372467. The next prime is 88176372533. The reversal of 88176372480 is 8427367188.

It is a happy number.

88176372480 is a `hidden beast` number, since 88 + 17 + 6 + 3 + 72 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179585035 + ... + 179585525.

It is an arithmetic number, because the mean of its divisors is an integer number (431422992).

Almost surely, 2^88176372480 is an apocalyptic number.

88176372480 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 88176372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186374732544).

88176372480 is an abundant number, since it is smaller than the sum of its proper divisors (284573092608).

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

88176372480 is a wasteful number, since it uses less digits than its factorization.

88176372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 88176372480 in words is "eighty-eight billion, one hundred seventy-six million, three hundred seventy-two thousand, four hundred eighty".