5181626086560 has 1536 divisors, whose sum is σ = 23669297971200. Its totient is φ = 1026596229120.

The previous prime is 5181626086519. The next prime is 5181626086639. The reversal of 5181626086560 is 656806261815.

5181626086560 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 626 + 0 + 8 + 6 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×5181626086560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5181626086497 and 5181626086506.

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, 2899621987 + ... + 2899623773.

It is an arithmetic number, because the mean of its divisors is an integer number (15409699200).

Almost surely, 2^{5181626086560} 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 5181626086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834648985600).

5181626086560 is an abundant number, since it is smaller than the sum of its proper divisors (18487671884640).

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

5181626086560 is a wasteful number, since it uses less digits than its factorization.

5181626086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5181626086560 in words is "five trillion, one hundred eighty-one billion, six hundred twenty-six million, eighty-six thousand, five hundred sixty".