87288954480 has 640 divisors, whose sum is σ = 371376230400. Its totient is φ = 18350862336.

The previous prime is 87288954469. The next prime is 87288954497. The reversal of 87288954480 is 8445988278.

87288954480 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 8 + 9 + 544 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70564422 + ... + 70565658.

It is an arithmetic number, because the mean of its divisors is an integer number (580275360).

Almost surely, 2^87288954480 is an apocalyptic number.

87288954480 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 87288954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185688115200).

87288954480 is an abundant number, since it is smaller than the sum of its proper divisors (284087275920).

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

87288954480 is a wasteful number, since it uses less digits than its factorization.

87288954480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

It can be divided in two parts, 872889 and 54480, that added together give a square (927369 = 963²).

The spelling of 87288954480 in words is "eighty-seven billion, two hundred eighty-eight million, nine hundred fifty-four thousand, four hundred eighty".