87660053280 has 576 divisors, whose sum is σ = 321027452928. Its totient is φ = 22574039040.

The previous prime is 87660053279. The next prime is 87660053293. The reversal of 87660053280 is 8235006678.

87660053280 is a `hidden beast` number, since 8 + 7 + 6 + 600 + 5 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202447944 + ... + 202448376.

It is an arithmetic number, because the mean of its divisors is an integer number (557339328).

Almost surely, 2^87660053280 is an apocalyptic number.

87660053280 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 87660053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160513726464).

87660053280 is an abundant number, since it is smaller than the sum of its proper divisors (233367399648).

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

87660053280 is a wasteful number, since it uses less digits than its factorization.

87660053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87660053280 in words is "eighty-seven billion, six hundred sixty million, fifty-three thousand, two hundred eighty".