87549189840 has 720 divisors, whose sum is σ = 358991523072. Its totient is φ = 19042781184.

The previous prime is 87549189823. The next prime is 87549189857. The reversal of 87549189840 is 4898194578.

87549189840 is a `hidden beast` number, since 8 + 7 + 549 + 1 + 8 + 9 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87549189823) and next prime (87549189857).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61351207 + ... + 61352633.

Almost surely, 2^87549189840 is an apocalyptic number.

87549189840 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 87549189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179495761536).

87549189840 is an abundant number, since it is smaller than the sum of its proper divisors (271442333232).

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

87549189840 is a wasteful number, since it uses less digits than its factorization.

87549189840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 87549189840 in words is "eighty-seven billion, five hundred forty-nine million, one hundred eighty-nine thousand, eight hundred forty".