5627489400960 has 1024 divisors, whose sum is σ = 21523649495040. Its totient is φ = 1223648870400.

The previous prime is 5627489400943. The next prime is 5627489401007. The reversal of 5627489400960 is 690049847265.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5627489400894 and 5627489400903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12207135130 + ... + 12207135590.

It is an arithmetic number, because the mean of its divisors is an integer number (21019188960).

Almost surely, 2^{5627489400960} 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 5627489400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761824747520).

5627489400960 is an abundant number, since it is smaller than the sum of its proper divisors (15896160094080).

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

5627489400960 is a wasteful number, since it uses less digits than its factorization.

5627489400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 5627489400960 in words is "five trillion, six hundred twenty-seven billion, four hundred eighty-nine million, four hundred thousand, nine hundred sixty".