84958848000 has 1408 divisors, whose sum is σ = 354790625280. Its totient is φ = 19906560000.

The previous prime is 84958847999. The next prime is 84958848019. The reversal of 84958848000 is 84885948.

84958848000 is a `hidden beast` number, since 84 + 9 + 5 + 88 + 480 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1392767970 + ... + 1392768030.

Almost surely, 2^84958848000 is an apocalyptic number.

84958848000 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 84958848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395312640).

84958848000 is an abundant number, since it is smaller than the sum of its proper divisors (269831777280).

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

84958848000 is a wasteful number, since it uses less digits than its factorization.

84958848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 84958848000 in words is "eighty-four billion, nine hundred fifty-eight million, eight hundred forty-eight thousand".