85557219300 has 864 divisors, whose sum is σ = 345017917440. Its totient is φ = 18082310400.

The previous prime is 85557219271. The next prime is 85557219313. The reversal of 85557219300 is 391275558.

85557219300 is a `hidden beast` number, since 8 + 5 + 557 + 2 + 1 + 93 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94329447 + ... + 94330353.

Almost surely, 2^85557219300 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 85557219300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172508958720).

85557219300 is an abundant number, since it is smaller than the sum of its proper divisors (259460698140).

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

85557219300 is a wasteful number, since it uses less digits than its factorization.

85557219300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 85557219300 in words is "eighty-five billion, five hundred fifty-seven million, two hundred nineteen thousand, three hundred".