11281962720 has 384 divisors, whose sum is σ = 41803776000. Its totient is φ = 2504189952.

The previous prime is 11281962667. The next prime is 11281962733. The reversal of 11281962720 is 2726918211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31425901 + ... + 31426259.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 2^11281962720 is an apocalyptic number.

11281962720 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 11281962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888000).

11281962720 is an abundant number, since it is smaller than the sum of its proper divisors (30521813280).

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

11281962720 is a wasteful number, since it uses less digits than its factorization.

11281962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 11281962720 in words is "eleven billion, two hundred eighty-one million, nine hundred sixty-two thousand, seven hundred twenty".