851605452472320 has 3840 divisors, whose sum is σ = 3854279976960000. Its totient is φ = 177242659356672.

The previous prime is 851605452472277. The next prime is 851605452472361. The reversal of 851605452472320 is 23274254506158.

851605452472320 is a `hidden beast` number, since 8 + 5 + 1 + 6 + 0 + 545 + 2 + 4 + 72 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 255 ways as a sum of consecutive naturals, for example, 779144969694 + ... + 779144970786.

It is an arithmetic number, because the mean of its divisors is an integer number (1003718744000).

Almost surely, 2^{851605452472320} is an apocalyptic number.

851605452472320 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 851605452472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927139988480000).

851605452472320 is an abundant number, since it is smaller than the sum of its proper divisors (3002674524487680).

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

851605452472320 is a wasteful number, since it uses less digits than its factorization.

851605452472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 851605452472320 in words is "eight hundred fifty-one trillion, six hundred five billion, four hundred fifty-two million, four hundred seventy-two thousand, three hundred twenty".