87278077744848 has 120 divisors (see below), whose sum is σ = 245678014707840. Its totient is φ = 28923866657280.

The previous prime is 87278077744831. The next prime is 87278077744969. The reversal of 87278077744848 is 84844777087278.

87278077744848 is a `hidden beast` number, since 8 + 7 + 27 + 80 + 7 + 77 + 448 + 4 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 20137113 + ... + 24084423.

It is an arithmetic number, because the mean of its divisors is an integer number (2047316789232).

Almost surely, 2^{87278077744848} 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 87278077744848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122839007353920).

87278077744848 is an abundant number, since it is smaller than the sum of its proper divisors (158399936962992).

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

87278077744848 is a wasteful number, since it uses less digits than its factorization.

87278077744848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948217 (or 3948208 counting only the distinct ones).

The product of its (nonzero) digits is 8811708416, while the sum is 81.

The spelling of 87278077744848 in words is "eighty-seven trillion, two hundred seventy-eight billion, seventy-seven million, seven hundred forty-four thousand, eight hundred forty-eight".