84750854400 has 243 divisors, whose sum is σ = 303253434939. Its totient is φ = 22581596160.

The previous prime is 84750854389. The next prime is 84750854407. The reversal of 84750854400 is 445805748.

The square root of 84750854400 is 291120.

It is a perfect power (a square), and thus also a powerful number.

84750854400 is a `hidden beast` number, since 84 + 7 + 50 + 85 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37178009856 + 47572844544 = 192816^2 + 218112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84750854407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69868194 + ... + 69869406.

Almost surely, 2^84750854400 is an apocalyptic number.

84750854400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84750854400 is the 291120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84750854400

84750854400 is an abundant number, since it is smaller than the sum of its proper divisors (218502580539).

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

84750854400 is an equidigital number, since it uses as much as digits as its factorization.

84750854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 84750854400 in words is "eighty-four billion, seven hundred fifty million, eight hundred fifty-four thousand, four hundred".