85454951400 has 1200 divisors, whose sum is σ = 375083870700. Its totient is φ = 18030055680.

The previous prime is 85454951381. The next prime is 85454951411. The reversal of 85454951400 is 415945458.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85454951400 is a `hidden beast` number, since 8 + 54 + 549 + 51 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9242515044 + 76212436356 = 96138^2 + 276066^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6825 × 1911 × 6552.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 6573457794 + ... + 6573457806.

Almost surely, 2^85454951400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85454951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187541935350).

85454951400 is an abundant number, since it is smaller than the sum of its proper divisors (289628919300).

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

85454951400 is an equidigital number, since it uses as much as digits as its factorization.

85454951400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 85454951400 in words is "eighty-five billion, four hundred fifty-four million, nine hundred fifty-one thousand, four hundred".