87071003331840 has 432 divisors, whose sum is σ = 337525842116736. Its totient is φ = 20537631129600.

The previous prime is 87071003331839. The next prime is 87071003331841. The reversal of 87071003331840 is 4813330017078.

87071003331840 is a `hidden beast` number, since 8 + 70 + 71 + 0 + 0 + 333 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87071003331839) and next prime (87071003331841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87071003331841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4596676 + ... + 13973955.

Almost surely, 2^{87071003331840} is an apocalyptic number.

87071003331840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87071003331840 is an abundant number, since it is smaller than the sum of its proper divisors (250454838784896).

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

87071003331840 is a wasteful number, since it uses less digits than its factorization.

87071003331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570706 (or 18570689 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87071003331840 in words is "eighty-seven trillion, seventy-one billion, three million, three hundred thirty-one thousand, eight hundred forty".