852001250997600 has 1152 divisors, whose sum is σ = 3382186251225600. Its totient is φ = 205280522035200.

The previous prime is 852001250997581. The next prime is 852001250997613. The reversal of 852001250997600 is 6799052100258.

852001250997600 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 0 + 1 + 25 + 0 + 9 + 9 + 7 + 600 = 666.

It is a super-2 number, since 2×852001250997600² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26156654914 + ... + 26156687486.

It is an arithmetic number, because the mean of its divisors is an integer number (2935925565300).

Almost surely, 2^{852001250997600} is an apocalyptic number.

852001250997600 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 852001250997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691093125612800).

852001250997600 is an abundant number, since it is smaller than the sum of its proper divisors (2530185000228000).

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

852001250997600 is a wasteful number, since it uses less digits than its factorization.

852001250997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33285 (or 33266 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 852001250997600 in words is "eight hundred fifty-two trillion, one billion, two hundred fifty million, nine hundred ninety-seven thousand, six hundred".