87903466560 has 1344 divisors, whose sum is σ = 397634764800. Its totient is φ = 17306763264.

The previous prime is 87903466559. The next prime is 87903466571. The reversal of 87903466560 is 6566430978.

87903466560 is a `hidden beast` number, since 8 + 79 + 0 + 3 + 4 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 a junction number, because it is equal to n+sod(n) for n = 87903466497 and 87903466506.

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 191 ways as a sum of consecutive naturals, for example, 632398971 + ... + 632399109.

It is an arithmetic number, because the mean of its divisors is an integer number (295859200).

Almost surely, 2^87903466560 is an apocalyptic number.

87903466560 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 87903466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198817382400).

87903466560 is an abundant number, since it is smaller than the sum of its proper divisors (309731298240).

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

87903466560 is a wasteful number, since it uses less digits than its factorization.

87903466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 87903466560 in words is "eighty-seven billion, nine hundred three million, four hundred sixty-six thousand, five hundred sixty".