87086765610 has 144 divisors (see below), whose sum is σ = 245023027704. Its totient is φ = 21333362688.

The previous prime is 87086765609. The next prime is 87086765611. The reversal of 87086765610 is 1656768078.

87086765610 is a `hidden beast` number, since 8 + 7 + 0 + 8 + 6 + 76 + 561 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87086765609) and next prime (87086765611).

It can be written as a sum of positive squares in 12 ways, for example, as 4551796089 + 82534969521 = 67467^2 + 287289^2 .

It is a super-2 number, since 2×87086765610² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87086765611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201123954 + ... + 201124386.

Almost surely, 2^87086765610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87086765610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122511513852).

87086765610 is an abundant number, since it is smaller than the sum of its proper divisors (157936262094).

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

87086765610 is a wasteful number, since it uses less digits than its factorization.

87086765610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87086765610 in words is "eighty-seven billion, eighty-six million, seven hundred sixty-five thousand, six hundred ten".