5103845890560 has 640 divisors, whose sum is σ = 18418124736000. Its totient is φ = 1339486765056.

The previous prime is 5103845890487. The next prime is 5103845890571. The reversal of 5103845890560 is 650985483015.

5103845890560 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 8 + 4 + 589 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5103845890560² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 5103845890497 and 5103845890506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1408732909 + ... + 1408736531.

It is an arithmetic number, because the mean of its divisors is an integer number (28778319900).

Almost surely, 2^{5103845890560} 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 5103845890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209062368000).

5103845890560 is an abundant number, since it is smaller than the sum of its proper divisors (13314278845440).

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

5103845890560 is a wasteful number, since it uses less digits than its factorization.

5103845890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5103845890560 in words is "five trillion, one hundred three billion, eight hundred forty-five million, eight hundred ninety thousand, five hundred sixty".