5256089455680 has 672 divisors, whose sum is σ = 21698077040640. Its totient is φ = 1186174679040.

The previous prime is 5256089455657. The next prime is 5256089455697. The reversal of 5256089455680 is 865549806525.

5256089455680 is a `hidden beast` number, since 5 + 2 + 5 + 60 + 8 + 9 + 4 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5256089455680² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42940165 + ... + 43062395.

It is an arithmetic number, because the mean of its divisors is an integer number (32288805120).

Almost surely, 2^{5256089455680} 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 5256089455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849038520320).

5256089455680 is an abundant number, since it is smaller than the sum of its proper divisors (16441987584960).

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

5256089455680 is a wasteful number, since it uses less digits than its factorization.

5256089455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122349 (or 122327 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 5256089455680 in words is "five trillion, two hundred fifty-six billion, eighty-nine million, four hundred fifty-five thousand, six hundred eighty".