87120268284672 has 720 divisors, whose sum is σ = 301201883254272. Its totient is φ = 24532127907840.

The previous prime is 87120268284653. The next prime is 87120268284677. The reversal of 87120268284672 is 27648286202178.

87120268284672 is a `hidden beast` number, since 8 + 7 + 1 + 20 + 268 + 284 + 6 + 72 = 666.

It is a super-2 number, since 2×87120268284672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (87120268284677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3154574608 + ... + 3154602224.

Almost surely, 2^{87120268284672} 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 87120268284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150600941627136).

87120268284672 is an abundant number, since it is smaller than the sum of its proper divisors (214081614969600).

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

87120268284672 is a wasteful number, since it uses less digits than its factorization.

87120268284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27966 (or 27943 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 87120268284672 in words is "eighty-seven trillion, one hundred twenty billion, two hundred sixty-eight million, two hundred eighty-four thousand, six hundred seventy-two".