85133786400 has 1152 divisors, whose sum is σ = 355139769600. Its totient is φ = 19752284160.

The previous prime is 85133786351. The next prime is 85133786401. The reversal of 85133786400 is 468733158.

85133786400 is a `hidden beast` number, since 8 + 513 + 3 + 78 + 64 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85133786401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 432151102 + ... + 432151298.

It is an arithmetic number, because the mean of its divisors is an integer number (308281050).

Almost surely, 2^85133786400 is an apocalyptic number.

85133786400 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 85133786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177569884800).

85133786400 is an abundant number, since it is smaller than the sum of its proper divisors (270005983200).

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

85133786400 is a wasteful number, since it uses less digits than its factorization.

85133786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 85133786400 in words is "eighty-five billion, one hundred thirty-three million, seven hundred eighty-six thousand, four hundred".