84960518400 has 324 divisors, whose sum is σ = 307614478080. Its totient is φ = 22368153600.

The previous prime is 84960518359. The next prime is 84960518411. The reversal of 84960518400 is 481506948.

84960518400 is a `hidden beast` number, since 8 + 4 + 96 + 0 + 518 + 40 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 4541065 + ... + 4559735.

Almost surely, 2^84960518400 is an apocalyptic number.

84960518400 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 84960518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807239040).

84960518400 is an abundant number, since it is smaller than the sum of its proper divisors (222653959680).

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

84960518400 is a wasteful number, since it uses less digits than its factorization.

84960518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18782 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 84960518400 in words is "eighty-four billion, nine hundred sixty million, five hundred eighteen thousand, four hundred".