87073598067840 has 384 divisors, whose sum is σ = 308833085761200. Its totient is φ = 22589823614976.

The previous prime is 87073598067761. The next prime is 87073598067857. The reversal of 87073598067840 is 4876089537078.

It can be written as a sum of positive squares in 8 ways, for example, as 53776174234176 + 33297423833664 = 7333224^2 + 5770392^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×87073598067840² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3924167466 + ... + 3924189654.

Almost surely, 2^{87073598067840} is an apocalyptic number.

87073598067840 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 87073598067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154416542880600).

87073598067840 is an abundant number, since it is smaller than the sum of its proper divisors (221759487693360).

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

87073598067840 is a wasteful number, since it uses less digits than its factorization.

87073598067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40664 (or 40649 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 87073598067840 in words is "eighty-seven trillion, seventy-three billion, five hundred ninety-eight million, sixty-seven thousand, eight hundred forty".