9513123840 has 960 divisors, whose sum is σ = 40767390720. Its totient is φ = 2076180480.

The previous prime is 9513123839. The next prime is 9513123899. The reversal of 9513123840 is 483213159.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9513123795 and 9513123804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413614069 + ... + 413614091.

It is an arithmetic number, because the mean of its divisors is an integer number (42466032).

Almost surely, 2^9513123840 is an apocalyptic number.

9513123840 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 9513123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383695360).

9513123840 is an abundant number, since it is smaller than the sum of its proper divisors (31254266880).

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

9513123840 is a wasteful number, since it uses less digits than its factorization.

9513123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9513123840 is about 97535.2440915590. The cubic root of 9513123840 is about 2118.8866112870.

Adding to 9513123840 its reverse (483213159), we get a palindrome (9996336999).

The spelling of 9513123840 in words is "nine billion, five hundred thirteen million, one hundred twenty-three thousand, eight hundred forty".