87288425640 has 288 divisors, whose sum is σ = 309281895000. Its totient is φ = 21339961344.

The previous prime is 87288425633. The next prime is 87288425647. The reversal of 87288425640 is 4652488278.

87288425640 is a `hidden beast` number, since 8 + 72 + 8 + 8 + 4 + 2 + 564 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87288425633) and next prime (87288425647).

It can be written as a sum of positive squares in 12 ways, for example, as 262245636 + 87026180004 = 16194^2 + 295002^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87288425647) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9060346 + ... + 9069974.

Almost surely, 2^87288425640 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 87288425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154640947500).

87288425640 is an abundant number, since it is smaller than the sum of its proper divisors (221993469360).

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

87288425640 is a wasteful number, since it uses less digits than its factorization.

87288425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 87288425640 in words is "eighty-seven billion, two hundred eighty-eight million, four hundred twenty-five thousand, six hundred forty".