5261642079120 has 1280 divisors, whose sum is σ = 22212292608000. Its totient is φ = 1118167400448.

The previous prime is 5261642079097. The next prime is 5261642079151. The reversal of 5261642079120 is 219702461625.

5261642079120 is a `hidden beast` number, since 5 + 2 + 616 + 4 + 2 + 0 + 7 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3538427017 + ... + 3538428503.

It is an arithmetic number, because the mean of its divisors is an integer number (17353353600).

Almost surely, 2^{5261642079120} 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 5261642079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106146304000).

5261642079120 is an abundant number, since it is smaller than the sum of its proper divisors (16950650528880).

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

5261642079120 is a wasteful number, since it uses less digits than its factorization.

5261642079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5261642079120 in words is "five trillion, two hundred sixty-one billion, six hundred forty-two million, seventy-nine thousand, one hundred twenty".