10500856632 has 256 divisors, whose sum is σ = 35729971200. Its totient is φ = 2791895040.

The previous prime is 10500856631. The next prime is 10500856649. The reversal of 10500856632 is 23665800501.

10500856632 is a `hidden beast` number, since 10 + 5 + 0 + 0 + 8 + 5 + 6 + 632 = 666.

It is a super-2 number, since 2×10500856632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500856631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282632 + ... + 1290792.

It is an arithmetic number, because the mean of its divisors is an integer number (139570200).

Almost surely, 2^10500856632 is an apocalyptic number.

10500856632 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 10500856632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864985600).

10500856632 is an abundant number, since it is smaller than the sum of its proper divisors (25229114568).

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

10500856632 is a wasteful number, since it uses less digits than its factorization.

10500856632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10500856632 in words is "ten billion, five hundred million, eight hundred fifty-six thousand, six hundred thirty-two".