10353739138920 has 256 divisors, whose sum is σ = 36660129292800. Its totient is φ = 2590228500480.

The previous prime is 10353739138889. The next prime is 10353739138949. The reversal of 10353739138920 is 2983193735301.

10353739138920 is a `hidden beast` number, since 1 + 0 + 3 + 537 + 3 + 9 + 1 + 3 + 89 + 20 = 666.

10353739138920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4803322 + ... + 6616598.

It is an arithmetic number, because the mean of its divisors is an integer number (143203630050).

Almost surely, 2^{10353739138920} is an apocalyptic number.

10353739138920 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 10353739138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330064646400).

10353739138920 is an abundant number, since it is smaller than the sum of its proper divisors (26306390153880).

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

10353739138920 is a wasteful number, since it uses less digits than its factorization.

10353739138920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813625 (or 1813615 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 10353739138920 in words is "ten trillion, three hundred fifty-three billion, seven hundred thirty-nine million, one hundred thirty-eight thousand, nine hundred twenty".