87860927411712 has 2400 divisors, whose sum is σ = 345003422385600. Its totient is φ = 21755353890816.

The previous prime is 87860927411711. The next prime is 87860927411713. The reversal of 87860927411712 is 21711472906878.

87860927411712 is a `hidden beast` number, since 8 + 7 + 8 + 60 + 92 + 7 + 411 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87860927411711) and next prime (87860927411713).

It is a super-2 number, since 2×87860927411712² (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 a self number, because there is not a number n which added to its sum of digits gives 87860927411712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87860927411711) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52642855614 + ... + 52642857282.

It is an arithmetic number, because the mean of its divisors is an integer number (143751425994).

Almost surely, 2^{87860927411712} 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 87860927411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172501711192800).

87860927411712 is an abundant number, since it is smaller than the sum of its proper divisors (257142494973888).

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

87860927411712 is a wasteful number, since it uses less digits than its factorization.

87860927411712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 87860927411712 in words is "eighty-seven trillion, eight hundred sixty billion, nine hundred twenty-seven million, four hundred eleven thousand, seven hundred twelve".