10276654752 has 648 divisors, whose sum is σ = 38272590720. Its totient is φ = 2604026880.

The previous prime is 10276654727. The next prime is 10276654813. The reversal of 10276654752 is 25745667201.

10276654752 is a `hidden beast` number, since 102 + 76 + 6 + 5 + 475 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10276654698 and 10276654707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73932699 + ... + 73932837.

It is an arithmetic number, because the mean of its divisors is an integer number (59062640).

Almost surely, 2^10276654752 is an apocalyptic number.

10276654752 is a gapful number since it is divisible by the number (12) 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 10276654752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136295360).

10276654752 is an abundant number, since it is smaller than the sum of its proper divisors (27995935968).

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

10276654752 is a wasteful number, since it uses less digits than its factorization.

10276654752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 10276654752 in words is "ten billion, two hundred seventy-six million, six hundred fifty-four thousand, seven hundred fifty-two".