84798760550400 has 1116 divisors, whose sum is σ = 339250876618472. Its totient is φ = 20873541058560.

The previous prime is 84798760550353. The next prime is 84798760550401. The reversal of 84798760550400 is 405506789748.

84798760550400 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 8 + 76 + 0 + 550 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84798760550401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6522981580794 + ... + 6522981580806.

Almost surely, 2^{84798760550400} is an apocalyptic number.

84798760550400 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 84798760550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169625438309236).

84798760550400 is an abundant number, since it is smaller than the sum of its proper divisors (254452116068072).

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

84798760550400 is an frugal number, since it uses more digits than its factorization.

84798760550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 84798760550400 in words is "eighty-four trillion, seven hundred ninety-eight billion, seven hundred sixty million, five hundred fifty thousand, four hundred".