87177359808 has 1008 divisors, whose sum is σ = 335203921920. Its totient is φ = 22129873920.

The previous prime is 87177359791. The next prime is 87177359809. The reversal of 87177359808 is 80895377178.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87177359809) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 686435841 + ... + 686435967.

Almost surely, 2^87177359808 is an apocalyptic number.

87177359808 is a gapful number since it is divisible by the number (88) 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 87177359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167601960960).

87177359808 is an abundant number, since it is smaller than the sum of its proper divisors (248026562112).

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

87177359808 is a wasteful number, since it uses less digits than its factorization.

87177359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

It can be divided in two parts, 87177 and 359808, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 87177359808 in words is "eighty-seven billion, one hundred seventy-seven million, three hundred fifty-nine thousand, eight hundred eight".