10538262968220 has 1536 divisors, whose sum is σ = 41120110080000. Its totient is φ = 2211252535296.

The previous prime is 10538262968213. The next prime is 10538262968267. The reversal of 10538262968220 is 2286926283501.

10538262968220 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 8 + 2 + 629 + 6 + 8 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×10538262968220² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4949864116 + ... + 4949866244.

It is an arithmetic number, because the mean of its divisors is an integer number (26770905000).

Almost surely, 2^{10538262968220} is an apocalyptic number.

10538262968220 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 10538262968220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560055040000).

10538262968220 is an abundant number, since it is smaller than the sum of its proper divisors (30581847111780).

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

10538262968220 is a wasteful number, since it uses less digits than its factorization.

10538262968220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10538262968220 in words is "ten trillion, five hundred thirty-eight billion, two hundred sixty-two million, nine hundred sixty-eight thousand, two hundred twenty".