20919237120 has 640 divisors, whose sum is σ = 82907193600. Its totient is φ = 4968677376.

The previous prime is 20919237109. The next prime is 20919237121. The reversal of 20919237120 is 2173291902.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20919237120² (a number of 21 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 not an unprimeable number, because it can be changed into a prime (20919237121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325292 + ... + 22326228.

It is an arithmetic number, because the mean of its divisors is an integer number (129542490).

Almost surely, 2^20919237120 is an apocalyptic number.

20919237120 is a gapful number since it is divisible by the number (20) 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 20919237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41453596800).

20919237120 is an abundant number, since it is smaller than the sum of its proper divisors (61987956480).

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

20919237120 is a wasteful number, since it uses less digits than its factorization.

20919237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 20919237120 in words is "twenty billion, nine hundred nineteen million, two hundred thirty-seven thousand, one hundred twenty".