7861986288000 has 1536 divisors, whose sum is σ = 32694500966400. Its totient is φ = 1794012364800.

The previous prime is 7861986287989. The next prime is 7861986288031. The reversal of 7861986288000 is 8826891687.

7861986288000 is a `hidden beast` number, since 7 + 8 + 619 + 8 + 6 + 2 + 8 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1671693649 + ... + 1671698351.

It is an arithmetic number, because the mean of its divisors is an integer number (21285482400).

Almost surely, 2^{7861986288000} 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 7861986288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347250483200).

7861986288000 is an abundant number, since it is smaller than the sum of its proper divisors (24832514678400).

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

7861986288000 is a wasteful number, since it uses less digits than its factorization.

7861986288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 7861986288000 in words is "seven trillion, eight hundred sixty-one billion, nine hundred eighty-six million, two hundred eighty-eight thousand".