84849926400 has 1296 divisors, whose sum is σ = 343199700480. Its totient is φ = 19906560000.

The previous prime is 84849926393. The next prime is 84849926423. The reversal of 84849926400 is 462994848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1390982370 + ... + 1390982430.

Almost surely, 2^84849926400 is an apocalyptic number.

84849926400 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 84849926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171599850240).

84849926400 is an abundant number, since it is smaller than the sum of its proper divisors (258349774080).

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

84849926400 is a wasteful number, since it uses less digits than its factorization.

84849926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 84849926400 in words is "eighty-four billion, eight hundred forty-nine million, nine hundred twenty-six thousand, four hundred".