20955747120 has 640 divisors, whose sum is σ = 86394470400. Its totient is φ = 4072611840.

The previous prime is 20955747061. The next prime is 20955747139. The reversal of 20955747120 is 2174755902.

It is a Cunningham number, because it is equal to 144761²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19976356 + ... + 19977404.

It is an arithmetic number, because the mean of its divisors is an integer number (134991360).

Almost surely, 2^20955747120 is an apocalyptic number.

20955747120 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 20955747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43197235200).

20955747120 is an abundant number, since it is smaller than the sum of its proper divisors (65438723280).

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

20955747120 is a wasteful number, since it uses less digits than its factorization.

20955747120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 20955747120 in words is "twenty billion, nine hundred fifty-five million, seven hundred forty-seven thousand, one hundred twenty".