487060853760 has 880 divisors, whose sum is σ = 1911711673872. Its totient is φ = 117846835200.

The previous prime is 487060853753. The next prime is 487060853767. The reversal of 487060853760 is 67358060784.

487060853760 is a `hidden beast` number, since 48 + 7 + 0 + 6 + 0 + 8 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (487060853753) and next prime (487060853767).

It can be written as a sum of positive squares in 8 ways, for example, as 157272523776 + 329788329984 = 396576^2 + 574272^2 .

It is a super-2 number, since 2×487060853760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 487060853697 and 487060853706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487060853767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328872220 + ... + 328873700.

Almost surely, 2^487060853760 is an apocalyptic number.

487060853760 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 487060853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955855836936).

487060853760 is an abundant number, since it is smaller than the sum of its proper divisors (1424650820112).

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

487060853760 is a wasteful number, since it uses less digits than its factorization.

487060853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 487060853760 in words is "four hundred eighty-seven billion, sixty million, eight hundred fifty-three thousand, seven hundred sixty".