851061116833920 has 640 divisors, whose sum is σ = 3205171300161600. Its totient is φ = 214607358074880.

The previous prime is 851061116833909. The next prime is 851061116833943. The reversal of 851061116833920 is 29338611160158.

851061116833920 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 61 + 116 + 83 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 532064787 + ... + 533661933.

Almost surely, 2^{851061116833920} is an apocalyptic number.

851061116833920 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 851061116833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602585650080800).

851061116833920 is an abundant number, since it is smaller than the sum of its proper divisors (2354110183327680).

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

851061116833920 is a wasteful number, since it uses less digits than its factorization.

851061116833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597738 (or 1597717 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 851061116833920 in words is "eight hundred fifty-one trillion, sixty-one billion, one hundred sixteen million, eight hundred thirty-three thousand, nine hundred twenty".