87953777880 has 256 divisors, whose sum is σ = 281920020480. Its totient is φ = 21875318784.

The previous prime is 87953777867. The next prime is 87953777881. The reversal of 87953777880 is 8877735978.

It is a super-4 number, since 4×87953777880⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87953777881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 180602997 + ... + 180603483.

It is an arithmetic number, because the mean of its divisors is an integer number (1101250080).

Almost surely, 2^87953777880 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 87953777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140960010240).

87953777880 is an abundant number, since it is smaller than the sum of its proper divisors (193966242600).

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

87953777880 is a wasteful number, since it uses less digits than its factorization.

87953777880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 69.

The spelling of 87953777880 in words is "eighty-seven billion, nine hundred fifty-three million, seven hundred seventy-seven thousand, eight hundred eighty".