35852047882560 has 1792 divisors, whose sum is σ = 157030775193600. Its totient is φ = 7498403020800.

The previous prime is 35852047882543. The next prime is 35852047882571. The reversal of 35852047882560 is 6528874025853.

35852047882560 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 20 + 47 + 8 + 8 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81667534821 + ... + 81667535259.

It is an arithmetic number, because the mean of its divisors is an integer number (87628780800).

Almost surely, 2^{35852047882560} is an apocalyptic number.

35852047882560 is a gapful number since it is divisible by the number (30) 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 35852047882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78515387596800).

35852047882560 is an abundant number, since it is smaller than the sum of its proper divisors (121178727311040).

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

35852047882560 is a wasteful number, since it uses less digits than its factorization.

35852047882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 35852047882560 in words is "thirty-five trillion, eight hundred fifty-two billion, forty-seven million, eight hundred eighty-two thousand, five hundred sixty".