511187863680 has 896 divisors, whose sum is σ = 1986841059840. Its totient is φ = 124963430400.

The previous prime is 511187863673. The next prime is 511187863691. The reversal of 511187863680 is 86368781115.

511187863680 is a `hidden beast` number, since 511 + 1 + 8 + 7 + 8 + 63 + 68 + 0 = 666.

It is a super-2 number, since 2×511187863680² (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 111 ways as a sum of consecutive naturals, for example, 1643690725 + ... + 1643691035.

It is an arithmetic number, because the mean of its divisors is an integer number (2217456540).

Almost surely, 2^511187863680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511187863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993420529920).

511187863680 is an abundant number, since it is smaller than the sum of its proper divisors (1475653196160).

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

511187863680 is a wasteful number, since it uses less digits than its factorization.

511187863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 511187863680 in words is "five hundred eleven billion, one hundred eighty-seven million, eight hundred sixty-three thousand, six hundred eighty".