10281973965120 has 3584 divisors, whose sum is σ = 47191818240000. Its totient is φ = 2069286912000.

The previous prime is 10281973965113. The next prime is 10281973965121. The reversal of 10281973965120 is 2156937918201.

It is a happy number.

10281973965120 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 1 + 97 + 39 + 6 + 512 + 0 = 666.

10281973965120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10281973965120² (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 not an unprimeable number, because it can be changed into a prime (10281973965121) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 51668210781 + ... + 51668210979.

It is an arithmetic number, because the mean of its divisors is an integer number (13167360000).

Almost surely, 2^{10281973965120} is an apocalyptic number.

10281973965120 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 10281973965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595909120000).

10281973965120 is an abundant number, since it is smaller than the sum of its proper divisors (36909844274880).

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

10281973965120 is a wasteful number, since it uses less digits than its factorization.

10281973965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10281973965120 in words is "ten trillion, two hundred eighty-one billion, nine hundred seventy-three million, nine hundred sixty-five thousand, one hundred twenty".