10213924498560 has 768 divisors, whose sum is σ = 36036036241920. Its totient is φ = 2665429401600.

The previous prime is 10213924498553. The next prime is 10213924498621. The reversal of 10213924498560 is 6589442931201.

It is a happy number.

10213924498560 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 92 + 4 + 498 + 5 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10213924498497 and 10213924498506.

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 95 ways as a sum of consecutive naturals, for example, 32842200805 + ... + 32842201115.

It is an arithmetic number, because the mean of its divisors is an integer number (46921922190).

Almost surely, 2^{10213924498560} is an apocalyptic number.

10213924498560 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 10213924498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018018120960).

10213924498560 is an abundant number, since it is smaller than the sum of its proper divisors (25822111743360).

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

10213924498560 is a wasteful number, since it uses less digits than its factorization.

10213924498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10213924498560 in words is "ten trillion, two hundred thirteen billion, nine hundred twenty-four million, four hundred ninety-eight thousand, five hundred sixty".