487765015436000 has 192 divisors, whose sum is σ = 1231081052160960. Its totient is φ = 189827127705600.

The previous prime is 487765015435991. The next prime is 487765015436009. The reversal of 487765015436000 is 634510567784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (487765015435991) and next prime (487765015436009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487765015436009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38686796 + ... + 49721204.

It is an arithmetic number, because the mean of its divisors is an integer number (6411880480005).

Almost surely, 2^{487765015436000} is an apocalyptic number.

487765015436000 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 487765015436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615540526080480).

487765015436000 is an abundant number, since it is smaller than the sum of its proper divisors (743316036724960).

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

487765015436000 is a wasteful number, since it uses less digits than its factorization.

487765015436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034734 (or 11034716 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 487765015436000 in words is "four hundred eighty-seven trillion, seven hundred sixty-five billion, fifteen million, four hundred thirty-six thousand".