10211980743720 has 576 divisors, whose sum is σ = 39673720944000. Its totient is φ = 2269779563520.

The previous prime is 10211980743707. The next prime is 10211980743751. The reversal of 10211980743720 is 2734708911201.

10211980743720 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 198 + 0 + 7 + 437 + 20 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1547500981 + ... + 1547507579.

It is an arithmetic number, because the mean of its divisors is an integer number (68877987750).

Almost surely, 2^{10211980743720} is an apocalyptic number.

10211980743720 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 10211980743720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836860472000).

10211980743720 is an abundant number, since it is smaller than the sum of its proper divisors (29461740200280).

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

10211980743720 is a wasteful number, since it uses less digits than its factorization.

10211980743720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10211980743720 in words is "ten trillion, two hundred eleven billion, nine hundred eighty million, seven hundred forty-three thousand, seven hundred twenty".