10627527111696 has 720 divisors, whose sum is σ = 35072046120384. Its totient is φ = 3115118476800.

The previous prime is 10627527111689. The next prime is 10627527111739. The reversal of 10627527111696 is 69611172572601.

10627527111696 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 527 + 11 + 16 + 96 = 666.

It is a super-2 number, since 2×10627527111696² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4973104740 + ... + 4973106876.

Almost surely, 2^{10627527111696} is an apocalyptic number.

10627527111696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10627527111696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536023060192).

10627527111696 is an abundant number, since it is smaller than the sum of its proper divisors (24444519008688).

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

10627527111696 is an equidigital number, since it uses as much as digits as its factorization.

10627527111696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10627527111696 in words is "ten trillion, six hundred twenty-seven billion, five hundred twenty-seven million, one hundred eleven thousand, six hundred ninety-six".