10627616538 has 192 divisors, whose sum is σ = 30546367488. Its totient is φ = 2585295360.

The previous prime is 10627616507. The next prime is 10627616543. The reversal of 10627616538 is 83561672601.

10627616538 is a `hidden beast` number, since 1 + 0 + 6 + 27 + 616 + 5 + 3 + 8 = 666.

It is a super-2 number, since 2×10627616538² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10627616493 and 10627616502.

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, 5347581 + ... + 5349567.

It is an arithmetic number, because the mean of its divisors is an integer number (159095664).

Almost surely, 2^10627616538 is an apocalyptic number.

10627616538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10627616538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273183744).

10627616538 is an abundant number, since it is smaller than the sum of its proper divisors (19918750950).

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

10627616538 is a wasteful number, since it uses less digits than its factorization.

10627616538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2254 counting only the distinct ones).

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

It can be divided in two parts, 1062 and 7616538, that added together give a square (7617600 = 2760²).

The spelling of 10627616538 in words is "ten billion, six hundred twenty-seven million, six hundred sixteen thousand, five hundred thirty-eight".