87708298487040 has 5760 divisors, whose sum is σ = 432162481766400. Its totient is φ = 16433900421120.

The previous prime is 87708298487009. The next prime is 87708298487057. The reversal of 87708298487040 is 4078489280778.

87708298487040 is a `hidden beast` number, since 87 + 7 + 0 + 8 + 29 + 8 + 487 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 87708298487040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 558651582642 + ... + 558651582798.

It is an arithmetic number, because the mean of its divisors is an integer number (75028208640).

Almost surely, 2^{87708298487040} is an apocalyptic number.

87708298487040 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 87708298487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216081240883200).

87708298487040 is an abundant number, since it is smaller than the sum of its proper divisors (344454183279360).

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

87708298487040 is a wasteful number, since it uses less digits than its factorization.

87708298487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 87708298487040 in words is "eighty-seven trillion, seven hundred eight billion, two hundred ninety-eight million, four hundred eighty-seven thousand, forty".