87853579776 has 200 divisors, whose sum is σ = 264935230560. Its totient is φ = 28981297152.

The previous prime is 87853579741. The next prime is 87853579783. The reversal of 87853579776 is 67797535878.

87853579776 is a `hidden beast` number, since 87 + 8 + 535 + 7 + 9 + 7 + 7 + 6 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4011865 + ... + 4033703.

Almost surely, 2^87853579776 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 87853579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132467615280).

87853579776 is an abundant number, since it is smaller than the sum of its proper divisors (177081650784).

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

87853579776 is an equidigital number, since it uses as much as digits as its factorization.

87853579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966 (or 21941 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 87853579776 in words is "eighty-seven billion, eight hundred fifty-three million, five hundred seventy-nine thousand, seven hundred seventy-six".