851100977664 has 640 divisors, whose sum is σ = 3078797230080. Its totient is φ = 226600353792.

The previous prime is 851100977621. The next prime is 851100977669. The reversal of 851100977664 is 466779001158.

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

It is a self number, because there is not a number n which added to its sum of digits gives 851100977664.

It is not an unprimeable number, because it can be changed into a prime (851100977669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169438257 + ... + 169443279.

It is an arithmetic number, because the mean of its divisors is an integer number (4810620672).

Almost surely, 2^851100977664 is an apocalyptic number.

851100977664 is a gapful number since it is divisible by the number (84) 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 851100977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539398615040).

851100977664 is an abundant number, since it is smaller than the sum of its proper divisors (2227696252416).

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

851100977664 is a wasteful number, since it uses less digits than its factorization.

851100977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 851100977664 in words is "eight hundred fifty-one billion, one hundred million, nine hundred seventy-seven thousand, six hundred sixty-four".