87138754560 has 1792 divisors, whose sum is σ = 396337536000. Its totient is φ = 17836277760.

The previous prime is 87138754529. The next prime is 87138754561. The reversal of 87138754560 is 6545783178.

It is a happy number.

87138754560 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 8 + 75 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87138754497 and 87138754506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87138754561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3004784626 + ... + 3004784654.

It is an arithmetic number, because the mean of its divisors is an integer number (221170500).

Almost surely, 2^87138754560 is an apocalyptic number.

87138754560 is a gapful number since it is divisible by the number (80) 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 87138754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198168768000).

87138754560 is an abundant number, since it is smaller than the sum of its proper divisors (309198781440).

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

87138754560 is a wasteful number, since it uses less digits than its factorization.

87138754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 87138754560 in words is "eighty-seven billion, one hundred thirty-eight million, seven hundred fifty-four thousand, five hundred sixty".