486090752000 has 480 divisors, whose sum is σ = 1422102479616. Its totient is φ = 162398208000.

The previous prime is 486090751901. The next prime is 486090752057. The reversal of 486090752000 is 257090684.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587775587 + ... + 587776413.

Almost surely, 2^486090752000 is an apocalyptic number.

486090752000 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 486090752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711051239808).

486090752000 is an abundant number, since it is smaller than the sum of its proper divisors (936011727616).

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

486090752000 is an frugal number, since it uses more digits than its factorization.

486090752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 486090752000 in words is "four hundred eighty-six billion, ninety million, seven hundred fifty-two thousand".