85627319400 has 672 divisors, whose sum is σ = 347785954560. Its totient is φ = 19190545920.

The previous prime is 85627319381. The next prime is 85627319411. The reversal of 85627319400 is 491372658.

85627319400 is a `hidden beast` number, since 8 + 5 + 627 + 3 + 19 + 4 + 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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54091009 + ... + 54092591.

It is a 1-persistent number, because it is pandigital, but 2⋅85627319400 = 171254638800 is not.

Almost surely, 2^85627319400 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 85627319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173892977280).

85627319400 is an abundant number, since it is smaller than the sum of its proper divisors (262158635160).

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

85627319400 is a wasteful number, since it uses less digits than its factorization.

85627319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 85627319400 in words is "eighty-five billion, six hundred twenty-seven million, three hundred nineteen thousand, four hundred".