84118880747520 has 1536 divisors, whose sum is σ = 315807146265600. Its totient is φ = 21222792364032.

The previous prime is 84118880747459. The next prime is 84118880747593. The reversal of 84118880747520 is 2574708881148.

84118880747520 is a `hidden beast` number, since 8 + 4 + 1 + 1 + 88 + 80 + 7 + 475 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 867204956112 + ... + 867204956208.

It is an arithmetic number, because the mean of its divisors is an integer number (205603610850).

Almost surely, 2^{84118880747520} is an apocalyptic number.

84118880747520 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 84118880747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157903573132800).

84118880747520 is an abundant number, since it is smaller than the sum of its proper divisors (231688265518080).

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

84118880747520 is an frugal number, since it uses more digits than its factorization.

84118880747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 84118880747520 in words is "eighty-four trillion, one hundred eighteen billion, eight hundred eighty million, seven hundred forty-seven thousand, five hundred twenty".