84851978400 has 432 divisors, whose sum is σ = 359955086400. Its totient is φ = 18373754880.

The previous prime is 84851978369. The next prime is 84851978401. The reversal of 84851978400 is 487915848.

84851978400 is a `hidden beast` number, since 8 + 48 + 5 + 197 + 8 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (84851978401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 913296 + ... + 1001904.

Almost surely, 2^84851978400 is an apocalyptic number.

84851978400 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 84851978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179977543200).

84851978400 is an abundant number, since it is smaller than the sum of its proper divisors (275103108000).

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

84851978400 is a wasteful number, since it uses less digits than its factorization.

84851978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88661 (or 88645 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 84851978400 in words is "eighty-four billion, eight hundred fifty-one million, nine hundred seventy-eight thousand, four hundred".