10486022718600 has 1920 divisors, whose sum is σ = 45632985552000. Its totient is φ = 2192442163200.

The previous prime is 10486022718559. The next prime is 10486022718631. The reversal of 10486022718600 is 681722068401.

10486022718600 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 0 + 2 + 27 + 18 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 5867946907 + ... + 5867948693.

It is an arithmetic number, because the mean of its divisors is an integer number (23767179975).

Almost surely, 2^{10486022718600} is an apocalyptic number.

10486022718600 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 10486022718600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816492776000).

10486022718600 is an abundant number, since it is smaller than the sum of its proper divisors (35146962833400).

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

10486022718600 is a wasteful number, since it uses less digits than its factorization.

10486022718600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10486022718600 in words is "ten trillion, four hundred eighty-six billion, twenty-two million, seven hundred eighteen thousand, six hundred".