87865641077760 has 2112 divisors, whose sum is σ = 392274254840832. Its totient is φ = 18362893860864.

The previous prime is 87865641077759. The next prime is 87865641077803. The reversal of 87865641077760 is 6777014656878.

87865641077760 is a `hidden beast` number, since 8 + 7 + 86 + 5 + 6 + 410 + 7 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 12114382294 + ... + 12114389546.

Almost surely, 2^{87865641077760} is an apocalyptic number.

87865641077760 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 87865641077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196137127420416).

87865641077760 is an abundant number, since it is smaller than the sum of its proper divisors (304408613763072).

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

87865641077760 is a wasteful number, since it uses less digits than its factorization.

87865641077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 87865641077760 in words is "eighty-seven trillion, eight hundred sixty-five billion, six hundred forty-one million, seventy-seven thousand, seven hundred sixty".