7986553651200 has 384 divisors, whose sum is σ = 27962053327440. Its totient is φ = 2004457881600.

The previous prime is 7986553651199. The next prime is 7986553651267. The reversal of 7986553651200 is 21563556897.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7986553651200² (a number of 27 digits) contains 22 as substring.

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, 41683620 + ... + 41874780.

Almost surely, 2^{7986553651200} 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 7986553651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981026663720).

7986553651200 is an abundant number, since it is smaller than the sum of its proper divisors (19975499676240).

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

7986553651200 is a wasteful number, since it uses less digits than its factorization.

7986553651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191221 (or 191188 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 7986553651200 in words is "seven trillion, nine hundred eighty-six billion, five hundred fifty-three million, six hundred fifty-one thousand, two hundred".