10583779470768 has 960 divisors, whose sum is σ = 36461106339840. Its totient is φ = 2801201356800.

The previous prime is 10583779470757. The next prime is 10583779470827. The reversal of 10583779470768 is 86707497738501.

10583779470768 is a `hidden beast` number, since 1 + 0 + 5 + 83 + 7 + 7 + 9 + 470 + 76 + 8 = 666.

It is a super-2 number, since 2×10583779470768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10583779470696 and 10583779470705.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44283595993 + ... + 44283596231.

It is an arithmetic number, because the mean of its divisors is an integer number (37980319104).

Almost surely, 2^{10583779470768} is an apocalyptic number.

10583779470768 is a gapful number since it is divisible by the number (18) 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 10583779470768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230553169920).

10583779470768 is an abundant number, since it is smaller than the sum of its proper divisors (25877326869072).

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

10583779470768 is a wasteful number, since it uses less digits than its factorization.

10583779470768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 10583779470768 in words is "ten trillion, five hundred eighty-three billion, seven hundred seventy-nine million, four hundred seventy thousand, seven hundred sixty-eight".