9920137500 has 1152 divisors, whose sum is σ = 44097177600. Its totient is φ = 1866240000.

The previous prime is 9920137489. The next prime is 9920137543. The reversal of 9920137500 is 57310299.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 522112491 + ... + 522112509.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 2^9920137500 is an apocalyptic number.

9920137500 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 9920137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048588800).

9920137500 is an abundant number, since it is smaller than the sum of its proper divisors (34177040100).

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

9920137500 is a wasteful number, since it uses less digits than its factorization.

9920137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9920137500 is about 99599.8870481287. The cubic root of 9920137500 is about 2148.6840694420.

Adding to 9920137500 its reverse (57310299), we get a palindrome (9977447799).

The spelling of 9920137500 in words is "nine billion, nine hundred twenty million, one hundred thirty-seven thousand, five hundred".