87270109056 has 192 divisors, whose sum is σ = 270898140240. Its totient is φ = 26807500800.

The previous prime is 87270109049. The next prime is 87270109063. The reversal of 87270109056 is 65090107278.

It is an interprime number because it is at equal distance from previous prime (87270109049) and next prime (87270109063).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×87270109056² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9595071 + ... + 9604161.

Almost surely, 2^87270109056 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 87270109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135449070120).

87270109056 is an abundant number, since it is smaller than the sum of its proper divisors (183628031184).

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

87270109056 is a wasteful number, since it uses less digits than its factorization.

87270109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 87270109056 in words is "eighty-seven billion, two hundred seventy million, one hundred nine thousand, fifty-six".