10921970949120 has 5280 divisors, whose sum is σ = 54647440404480. Its totient is φ = 2032061644800.

The previous prime is 10921970949053. The next prime is 10921970949173. The reversal of 10921970949120 is 2194907912901.

10921970949120 is a `hidden beast` number, since 109 + 21 + 9 + 7 + 0 + 9 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 479 ways as a sum of consecutive naturals, for example, 185118151651 + ... + 185118151709.

It is an arithmetic number, because the mean of its divisors is an integer number (10349894016).

Almost surely, 2^{10921970949120} is an apocalyptic number.

10921970949120 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 10921970949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27323720202240).

10921970949120 is an abundant number, since it is smaller than the sum of its proper divisors (43725469455360).

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

10921970949120 is a wasteful number, since it uses less digits than its factorization.

10921970949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 10921970949120 in words is "ten trillion, nine hundred twenty-one billion, nine hundred seventy million, nine hundred forty-nine thousand, one hundred twenty".