84475278950400 has 2880 divisors, whose sum is σ = 351245899002240. Its totient is φ = 20123143372800.

The previous prime is 84475278950371. The next prime is 84475278950411. The reversal of 84475278950400 is 405987257448.

It is a happy number.

84475278950400 is a `hidden beast` number, since 8 + 4 + 4 + 7 + 52 + 78 + 9 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2725008998385 + ... + 2725008998415.

It is an arithmetic number, because the mean of its divisors is an integer number (121960381598).

Almost surely, 2^{84475278950400} is an apocalyptic number.

84475278950400 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 84475278950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175622949501120).

84475278950400 is an abundant number, since it is smaller than the sum of its proper divisors (266770620051840).

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

84475278950400 is an frugal number, since it uses more digits than its factorization.

84475278950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 84475278950400 in words is "eighty-four trillion, four hundred seventy-five billion, two hundred seventy-eight million, nine hundred fifty thousand, four hundred".