4279135966560 has 2592 divisors, whose sum is σ = 19894061285280. Its totient is φ = 851445374976.

The previous prime is 4279135966513. The next prime is 4279135966571. The reversal of 4279135966560 is 656695319724.

4279135966560 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 1 + 3 + 5 + 9 + 66 + 560 = 666.

It is a super-2 number, since 2×4279135966560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 99514789899 + ... + 99514789941.

It is an arithmetic number, because the mean of its divisors is an integer number (7675177965).

Almost surely, 2^{4279135966560} is an apocalyptic number.

4279135966560 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 4279135966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947030642640).

4279135966560 is an abundant number, since it is smaller than the sum of its proper divisors (15614925318720).

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

4279135966560 is a wasteful number, since it uses less digits than its factorization.

4279135966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 4279135966560 in words is "four trillion, two hundred seventy-nine billion, one hundred thirty-five million, nine hundred sixty-six thousand, five hundred sixty".