84684061051200 has 2352 divisors, whose sum is σ = 356229847538880. Its totient is φ = 19632964239360.

The previous prime is 84684061051199. The next prime is 84684061051207. The reversal of 84684061051200 is 215016048648.

It is a happy number.

84684061051200 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 4 + 0 + 610 + 5 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×84684061051200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84684061051207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 55603453639 + ... + 55603455161.

Almost surely, 2^{84684061051200} is an apocalyptic number.

84684061051200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84684061051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178114923769440).

84684061051200 is an abundant number, since it is smaller than the sum of its proper divisors (271545786487680).

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

84684061051200 is a wasteful number, since it uses less digits than its factorization.

84684061051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 84684061051200 its reverse (215016048648), we get a palindrome (84899077099848).

The spelling of 84684061051200 in words is "eighty-four trillion, six hundred eighty-four billion, sixty-one million, fifty-one thousand, two hundred".