85348247400 has 192 divisors, whose sum is σ = 316591195200. Its totient is φ = 21008782080.

The previous prime is 85348247357. The next prime is 85348247419. The reversal of 85348247400 is 474284358.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 537694 + ... + 678093.

It is an arithmetic number, because the mean of its divisors is an integer number (1648912475).

Almost surely, 2^85348247400 is an apocalyptic number.

It is an amenable number.

85348247400 is an abundant number, since it is smaller than the sum of its proper divisors (231242947800).

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

85348247400 is a wasteful number, since it uses less digits than its factorization.

85348247400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215825 (or 1215810 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 85348247400 in words is "eighty-five billion, three hundred forty-eight million, two hundred forty-seven thousand, four hundred".