486777615120 has 1280 divisors, whose sum is σ = 1948053888000. Its totient is φ = 110935277568.

The previous prime is 486777615061. The next prime is 486777615133. The reversal of 486777615120 is 21516777684.

486777615120 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 7 + 7 + 615 + 12 + 0 = 666.

It is a super-2 number, since 2×486777615120² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2813743354 + ... + 2813743526.

It is an arithmetic number, because the mean of its divisors is an integer number (1521917100).

Almost surely, 2^486777615120 is an apocalyptic number.

486777615120 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 486777615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974026944000).

486777615120 is an abundant number, since it is smaller than the sum of its proper divisors (1461276272880).

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

486777615120 is a wasteful number, since it uses less digits than its factorization.

486777615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 486777615120 in words is "four hundred eighty-six billion, seven hundred seventy-seven million, six hundred fifteen thousand, one hundred twenty".