87982493760 has 896 divisors, whose sum is σ = 369669242880. Its totient is φ = 19276185600.

The previous prime is 87982493749. The next prime is 87982493789. The reversal of 87982493760 is 6739428978.

87982493760 is a `hidden beast` number, since 8 + 7 + 9 + 82 + 493 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313104820 + ... + 313105100.

It is an arithmetic number, because the mean of its divisors is an integer number (412577280).

Almost surely, 2^87982493760 is an apocalyptic number.

87982493760 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 87982493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184834621440).

87982493760 is an abundant number, since it is smaller than the sum of its proper divisors (281686749120).

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

87982493760 is a wasteful number, since it uses less digits than its factorization.

87982493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 87982493760 in words is "eighty-seven billion, nine hundred eighty-two million, four hundred ninety-three thousand, seven hundred sixty".