920543616000 has 880 divisors, whose sum is σ = 3611989798560. Its totient is φ = 232508620800.

The previous prime is 920543615933. The next prime is 920543616071. The reversal of 920543616000 is 616345029.

It is a happy number.

920543616000 is a `hidden beast` number, since 9 + 2 + 0 + 5 + 43 + 6 + 1 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196989664 + ... + 196994336.

It is an arithmetic number, because the mean of its divisors is an integer number (4104533862).

Almost surely, 2^920543616000 is an apocalyptic number.

920543616000 is a gapful number since it is divisible by the number (90) 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 920543616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805994899280).

920543616000 is an abundant number, since it is smaller than the sum of its proper divisors (2691446182560).

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

920543616000 is a wasteful number, since it uses less digits than its factorization.

920543616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 920543616000 in words is "nine hundred twenty billion, five hundred forty-three million, six hundred sixteen thousand".