10921270651200 has 4032 divisors, whose sum is σ = 53324733665280. Its totient is φ = 2112205455360.

The previous prime is 10921270651189. The next prime is 10921270651229. The reversal of 10921270651200 is 215607212901.

10921270651200 is a `hidden beast` number, since 10 + 9 + 2 + 127 + 0 + 6 + 512 + 0 + 0 = 666.

10921270651200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×10921270651200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 206061710374 + ... + 206061710426.

Almost surely, 2^{10921270651200} is an apocalyptic number.

10921270651200 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 10921270651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26662366832640).

10921270651200 is an abundant number, since it is smaller than the sum of its proper divisors (42403463014080).

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

10921270651200 is a wasteful number, since it uses less digits than its factorization.

10921270651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10921270651200 in words is "ten trillion, nine hundred twenty-one billion, two hundred seventy million, six hundred fifty-one thousand, two hundred".