10684874445960 has 1024 divisors, whose sum is σ = 39713587200000. Its totient is φ = 2262917099520.

The previous prime is 10684874445953. The next prime is 10684874446003. The reversal of 10684874445960 is 6954447848601.

It is a super-2 number, since 2×10684874445960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 10684874445891 and 10684874445900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21412573791 + ... + 21412574289.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800000).

Almost surely, 2^{10684874445960} is an apocalyptic number.

10684874445960 is a gapful number since it is divisible by the number (10) 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 10684874445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600000).

10684874445960 is an abundant number, since it is smaller than the sum of its proper divisors (29028712754040).

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

10684874445960 is a wasteful number, since it uses less digits than its factorization.

10684874445960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 10684874445960 in words is "ten trillion, six hundred eighty-four billion, eight hundred seventy-four million, four hundred forty-five thousand, nine hundred sixty".