87077990160 has 720 divisors, whose sum is σ = 348424128000. Its totient is φ = 19428304896.

The previous prime is 87077990143. The next prime is 87077990173. The reversal of 87077990160 is 6109977078.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 87077990097 and 87077990106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 437577741 + ... + 437577939.

It is an arithmetic number, because the mean of its divisors is an integer number (483922400).

Almost surely, 2^87077990160 is an apocalyptic number.

87077990160 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 87077990160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174212064000).

87077990160 is an abundant number, since it is smaller than the sum of its proper divisors (261346137840).

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

87077990160 is a wasteful number, since it uses less digits than its factorization.

87077990160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 87077990160 in words is "eighty-seven billion, seventy-seven million, nine hundred ninety thousand, one hundred sixty".