851029280640 has 2304 divisors, whose sum is σ = 4047035166720. Its totient is φ = 160579584000.

The previous prime is 851029280597. The next prime is 851029280669. The reversal of 851029280640 is 46082920158.

851029280640 is a `hidden beast` number, since 8 + 510 + 2 + 92 + 8 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2571085275 + ... + 2571085605.

It is an arithmetic number, because the mean of its divisors is an integer number (1756525680).

Almost surely, 2^851029280640 is an apocalyptic number.

851029280640 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 851029280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023517583360).

851029280640 is an abundant number, since it is smaller than the sum of its proper divisors (3196005886080).

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

851029280640 is a wasteful number, since it uses less digits than its factorization.

851029280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 851029280640 in words is "eight hundred fifty-one billion, twenty-nine million, two hundred eighty thousand, six hundred forty".