10616126976 has 800 divisors, whose sum is σ = 40759266240. Its totient is φ = 2675441664.

The previous prime is 10616126971. The next prime is 10616127079. The reversal of 10616126976 is 67962161601.

10616126976 is a `hidden beast` number, since 1 + 0 + 616 + 1 + 26 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×10616126976² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616126971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109444560 + ... + 109444656.

Almost surely, 2^10616126976 is an apocalyptic number.

10616126976 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 10616126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379633120).

10616126976 is an abundant number, since it is smaller than the sum of its proper divisors (30143139264).

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

10616126976 is an equidigital number, since it uses as much as digits as its factorization.

10616126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10616126976 in words is "ten billion, six hundred sixteen million, one hundred twenty-six thousand, nine hundred seventy-six".