20952340500 has 768 divisors, whose sum is σ = 79840051200. Its totient is φ = 4151347200.

The previous prime is 20952340439. The next prime is 20952340511. The reversal of 20952340500 is 504325902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 265219461 + ... + 265219539.

It is an arithmetic number, because the mean of its divisors is an integer number (103958400).

Almost surely, 2^20952340500 is an apocalyptic number.

20952340500 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 20952340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39920025600).

20952340500 is an abundant number, since it is smaller than the sum of its proper divisors (58887710700).

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

20952340500 is a wasteful number, since it uses less digits than its factorization.

20952340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 20952340500 in words is "twenty billion, nine hundred fifty-two million, three hundred forty thousand, five hundred".