5787542779776 has 384 divisors, whose sum is σ = 18160303788000. Its totient is φ = 1814186557440.

The previous prime is 5787542779757. The next prime is 5787542779783. The reversal of 5787542779776 is 6779772457875.

5787542779776 is a `hidden beast` number, since 57 + 8 + 7 + 5 + 427 + 79 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5787542779776² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5787542779695 and 5787542779704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2218297960 + ... + 2218300568.

Almost surely, 2^{5787542779776} 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 5787542779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080151894000).

5787542779776 is an abundant number, since it is smaller than the sum of its proper divisors (12372761008224).

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

5787542779776 is a wasteful number, since it uses less digits than its factorization.

5787542779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4852 counting only the distinct ones).

The product of its digits is 10164873600, while the sum is 81.

The spelling of 5787542779776 in words is "five trillion, seven hundred eighty-seven billion, five hundred forty-two million, seven hundred seventy-nine thousand, seven hundred seventy-six".