84510090201600 has 720 divisors, whose sum is σ = 360836958081600. Its totient is φ = 19316588175360.

The previous prime is 84510090201599. The next prime is 84510090201601. The reversal of 84510090201600 is 610209001548.

84510090201600 is a `hidden beast` number, since 8 + 45 + 1 + 0 + 0 + 9 + 0 + 2 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (84510090201599) and next prime (84510090201601).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84510090201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14439181 + ... + 19429619.

It is an arithmetic number, because the mean of its divisors is an integer number (501162441780).

Almost surely, 2^{84510090201600} is an apocalyptic number.

84510090201600 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 84510090201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180418479040800).

84510090201600 is an abundant number, since it is smaller than the sum of its proper divisors (276326867880000).

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

84510090201600 is a wasteful number, since it uses less digits than its factorization.

84510090201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990490 (or 4990456 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 84510090201600 in words is "eighty-four trillion, five hundred ten billion, ninety million, two hundred one thousand, six hundred".