88448076416160 has 1536 divisors, whose sum is σ = 356883016089600. Its totient is φ = 20310663168000.

The previous prime is 88448076416153. The next prime is 88448076416339. The reversal of 88448076416160 is 6161467084488.

88448076416160 is a `hidden beast` number, since 8 + 8 + 4 + 4 + 8 + 0 + 7 + 6 + 4 + 1 + 616 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 24699265570 + ... + 24699269150.

It is an arithmetic number, because the mean of its divisors is an integer number (232345713600).

Almost surely, 2^{88448076416160} is an apocalyptic number.

88448076416160 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 88448076416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178441508044800).

88448076416160 is an abundant number, since it is smaller than the sum of its proper divisors (268434939673440).

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

88448076416160 is a wasteful number, since it uses less digits than its factorization.

88448076416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 88448076416160 in words is "eighty-eight trillion, four hundred forty-eight billion, seventy-six million, four hundred sixteen thousand, one hundred sixty".