87768904672036 has 45 divisors (see below), whose sum is σ = 179186059511249. Its totient is φ = 37614851382192.

The previous prime is 87768904671997. The next prime is 87768904672109. The reversal of 87768904672036 is 63027640986778.

The square root of 87768904672036 is 9368506.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 412664912100 + 87356239759936 = 642390^2 + 9346456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87768904672036.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 918065790 + ... + 918161386.

Almost surely, 2^{87768904672036} is an apocalyptic number.

87768904672036 is the 9368506-th square number.

It is an amenable number.

87768904672036 is an abundant number, since it is smaller than the sum of its proper divisors (91417154839213).

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

87768904672036 is an frugal number, since it uses more digits than its factorization.

87768904672036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191226 (or 95606 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 73.

The spelling of 87768904672036 in words is "eighty-seven trillion, seven hundred sixty-eight billion, nine hundred four million, six hundred seventy-two thousand, thirty-six".