87095123584864 has 48 divisors (see below), whose sum is σ = 177382556920800. Its totient is φ = 42045607747584.

The previous prime is 87095123584831. The next prime is 87095123584897. The reversal of 87095123584864 is 46848532159078.

It is an interprime number because it is at equal distance from previous prime (87095123584831) and next prime (87095123584897).

It is a junction number, because it is equal to n+sod(n) for n = 87095123584793 and 87095123584802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167047909 + ... + 167568475.

It is an arithmetic number, because the mean of its divisors is an integer number (3695469935850).

It is a 1-persistent number, because it is pandigital, but 2⋅87095123584864 = 174190247169728 is not.

Almost surely, 2^{87095123584864} is an apocalyptic number.

It is an amenable number.

87095123584864 is an abundant number, since it is smaller than the sum of its proper divisors (90287433335936).

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

87095123584864 is a wasteful number, since it uses less digits than its factorization.

87095123584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700895 (or 700887 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 87095123584864 in words is "eighty-seven trillion, ninety-five billion, one hundred twenty-three million, five hundred eighty-four thousand, eight hundred sixty-four".