852074496000 has 1632 divisors, whose sum is σ = 3810680659968. Its totient is φ = 178362777600.

The previous prime is 852074495981. The next prime is 852074496023. The reversal of 852074496000 is 694470258.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 6709247937 + ... + 6709248063.

Almost surely, 2^852074496000 is an apocalyptic number.

852074496000 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 852074496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905340329984).

852074496000 is an abundant number, since it is smaller than the sum of its proper divisors (2958606163968).

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

852074496000 is a wasteful number, since it uses less digits than its factorization.

852074496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

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

The spelling of 852074496000 in words is "eight hundred fifty-two billion, seventy-four million, four hundred ninety-six thousand".