10500640416 has 576 divisors, whose sum is σ = 37571788800. Its totient is φ = 2880541440.

The previous prime is 10500640379. The next prime is 10500640433. The reversal of 10500640416 is 61404600501.

10500640416 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 640 + 4 + 16 = 666.

It is a super-2 number, since 2×10500640416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10500640416.

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, 82682145 + ... + 82682271.

It is an arithmetic number, because the mean of its divisors is an integer number (65228800).

Almost surely, 2^10500640416 is an apocalyptic number.

10500640416 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 10500640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785894400).

10500640416 is an abundant number, since it is smaller than the sum of its proper divisors (27071148384).

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

10500640416 is an equidigital number, since it uses as much as digits as its factorization.

10500640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10500640416 in words is "ten billion, five hundred million, six hundred forty thousand, four hundred sixteen".