481756260006000 has 960 divisors, whose sum is σ = 1964683574870016. Its totient is φ = 107751845376000.

The previous prime is 481756260005959. The next prime is 481756260006097. The reversal of 481756260006000 is 600062657184.

481756260006000 is a `hidden beast` number, since 4 + 8 + 17 + 5 + 6 + 26 + 0 + 0 + 0 + 600 + 0 = 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 (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1167939795 + ... + 1168352205.

Almost surely, 2^{481756260006000} is an apocalyptic number.

481756260006000 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 481756260006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982341787435008).

481756260006000 is an abundant number, since it is smaller than the sum of its proper divisors (1482927314864016).

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

481756260006000 is a wasteful number, since it uses less digits than its factorization.

481756260006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412647 (or 412628 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 481756260006000 in words is "four hundred eighty-one trillion, seven hundred fifty-six billion, two hundred sixty million, six thousand".