87778743017568 has 96 divisors (see below), whose sum is σ = 236387842719840. Its totient is φ = 28503766487040.

The previous prime is 87778743017549. The next prime is 87778743017671. The reversal of 87778743017568 is 86571034787778.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87778743017493 and 87778743017502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13806163 + ... + 19135506.

It is an arithmetic number, because the mean of its divisors is an integer number (2462373361665).

Almost surely, 2^{87778743017568} is an apocalyptic number.

It is an amenable number.

87778743017568 is an abundant number, since it is smaller than the sum of its proper divisors (148609099702272).

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

87778743017568 is a wasteful number, since it uses less digits than its factorization.

87778743017568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32942400 (or 32942392 counting only the distinct ones).

The product of its (nonzero) digits is 3097866240, while the sum is 78.

The spelling of 87778743017568 in words is "eighty-seven trillion, seven hundred seventy-eight billion, seven hundred forty-three million, seventeen thousand, five hundred sixty-eight".