84396990827520 has 528 divisors, whose sum is σ = 336211041374208. Its totient is φ = 19175215104000.

The previous prime is 84396990827507. The next prime is 84396990827549. The reversal of 84396990827520 is 2572809969348.

84396990827520 is a `hidden beast` number, since 8 + 4 + 3 + 9 + 6 + 9 + 90 + 8 + 2 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53084145 + ... + 54650895.

It is an arithmetic number, because the mean of its divisors is an integer number (636763335936).

Almost surely, 2^{84396990827520} is an apocalyptic number.

84396990827520 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 84396990827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168105520687104).

84396990827520 is an abundant number, since it is smaller than the sum of its proper divisors (251814050546688).

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

84396990827520 is a wasteful number, since it uses less digits than its factorization.

84396990827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566956 (or 1566935 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 84396990827520 in words is "eighty-four trillion, three hundred ninety-six billion, nine hundred ninety million, eight hundred twenty-seven thousand, five hundred twenty".