84955590720 has 2688 divisors, whose sum is σ = 435868876800. Its totient is φ = 15109079040.

The previous prime is 84955590691. The next prime is 84955590773. The reversal of 84955590720 is 2709555948.

84955590720 is a `hidden beast` number, since 8 + 49 + 5 + 5 + 590 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1807565737 + ... + 1807565783.

It is an arithmetic number, because the mean of its divisors is an integer number (162153600).

Almost surely, 2^84955590720 is an apocalyptic number.

84955590720 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 84955590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217934438400).

84955590720 is an abundant number, since it is smaller than the sum of its proper divisors (350913286080).

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

84955590720 is a wasteful number, since it uses less digits than its factorization.

84955590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 84955590720 in words is "eighty-four billion, nine hundred fifty-five million, five hundred ninety thousand, seven hundred twenty".