87530949007488 has 288 divisors, whose sum is σ = 293175981958860. Its totient is φ = 24994043375616.

The previous prime is 87530949007457. The next prime is 87530949007519. The reversal of 87530949007488 is 88470094903578.

87530949007488 is a `hidden beast` number, since 8 + 7 + 53 + 0 + 9 + 4 + 90 + 0 + 7 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (87530949007457) and next prime (87530949007519).

It can be written as a sum of positive squares in 2 ways, for example, as 72523754823744 + 15007194183744 = 8516088^2 + 3873912^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 95108506 + ... + 96024422.

Almost surely, 2^{87530949007488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87530949007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146587990979430).

87530949007488 is an abundant number, since it is smaller than the sum of its proper divisors (205645032951372).

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

87530949007488 is a wasteful number, since it uses less digits than its factorization.

87530949007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917644 (or 917622 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 87530949007488 in words is "eighty-seven trillion, five hundred thirty billion, nine hundred forty-nine million, seven thousand, four hundred eighty-eight".