87755882692608 has 2720 divisors, whose sum is σ = 327402859069440. Its totient is φ = 23115815976960.

The previous prime is 87755882692607. The next prime is 87755882692633. The reversal of 87755882692608 is 80629628855778.

It is a happy number.

87755882692608 is a `hidden beast` number, since 8 + 7 + 7 + 5 + 588 + 2 + 6 + 9 + 26 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87755882692607) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 690991202241 + ... + 690991202367.

Almost surely, 2^{87755882692608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87755882692608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163701429534720).

87755882692608 is an abundant number, since it is smaller than the sum of its proper divisors (239646976376832).

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

87755882692608 is a wasteful number, since it uses less digits than its factorization.

87755882692608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 87755882692608 in words is "eighty-seven trillion, seven hundred fifty-five billion, eight hundred eighty-two million, six hundred ninety-two thousand, six hundred eight".