87826115341440 has 256 divisors, whose sum is σ = 355486657824000. Its totient is φ = 20074540621824.

The previous prime is 87826115341439. The next prime is 87826115341451. The reversal of 87826115341440 is 4414351162878.

It is a happy number.

87826115341440 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 6 + 1 + 153 + 41 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 362916885 + ... + 363158804.

It is an arithmetic number, because the mean of its divisors is an integer number (1388619757125).

Almost surely, 2^{87826115341440} is an apocalyptic number.

87826115341440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87826115341440 is an abundant number, since it is smaller than the sum of its proper divisors (267660542482560).

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

87826115341440 is a wasteful number, since it uses less digits than its factorization.

87826115341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726075724 (or 726075706 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 87826115341440 in words is "eighty-seven trillion, eight hundred twenty-six billion, one hundred fifteen million, three hundred forty-one thousand, four hundred forty".