88617886943040 has 1008 divisors, whose sum is σ = 382514495951952. Its totient is φ = 18664772861952.

The previous prime is 88617886943023. The next prime is 88617886943071. The reversal of 88617886943040 is 4034968871688.

88617886943040 is a `hidden beast` number, since 8 + 8 + 6 + 1 + 78 + 86 + 9 + 430 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15339630229056 + 73278256713984 = 3916584^2 + 8560272^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88617886943040.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1058499262 + ... + 1058582978.

It is an arithmetic number, because the mean of its divisors is an integer number (379478666619).

Almost surely, 2^{88617886943040} is an apocalyptic number.

88617886943040 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 88617886943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191257247975976).

88617886943040 is an abundant number, since it is smaller than the sum of its proper divisors (293896609008912).

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

88617886943040 is a wasteful number, since it uses less digits than its factorization.

88617886943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84344 (or 84324 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 88617886943040 in words is "eighty-eight trillion, six hundred seventeen billion, eight hundred eighty-six million, nine hundred forty-three thousand, forty".