46851028560 has 800 divisors, whose sum is σ = 192507321600. Its totient is φ = 10554872832.

The previous prime is 46851028537. The next prime is 46851028577. The reversal of 46851028560 is 6582015864.

46851028560 is a `hidden beast` number, since 4 + 6 + 85 + 1 + 0 + 2 + 8 + 560 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 237822382 + ... + 237822578.

It is an arithmetic number, because the mean of its divisors is an integer number (240634152).

Almost surely, 2^46851028560 is an apocalyptic number.

46851028560 is a gapful number since it is divisible by the number (40) 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 46851028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96253660800).

46851028560 is an abundant number, since it is smaller than the sum of its proper divisors (145656293040).

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

46851028560 is a wasteful number, since it uses less digits than its factorization.

46851028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 46851028560 in words is "forty-six billion, eight hundred fifty-one million, twenty-eight thousand, five hundred sixty".