10206620453640 has 256 divisors, whose sum is σ = 34474796052480. Its totient is φ = 2398564776960.

The previous prime is 10206620453569. The next prime is 10206620453669. The reversal of 10206620453640 is 4635402660201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 18493285 + ... + 19037195.

It is an arithmetic number, because the mean of its divisors is an integer number (134667172080).

Almost surely, 2^{10206620453640} is an apocalyptic number.

10206620453640 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 10206620453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237398026240).

10206620453640 is an abundant number, since it is smaller than the sum of its proper divisors (24268175598840).

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

10206620453640 is a wasteful number, since it uses less digits than its factorization.

10206620453640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544484 (or 544480 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 10206620453640 in words is "ten trillion, two hundred six billion, six hundred twenty million, four hundred fifty-three thousand, six hundred forty".