11537123840 has 320 divisors, whose sum is σ = 32243650560. Its totient is φ = 3917168640.

The previous prime is 11537123827. The next prime is 11537123861. The reversal of 11537123840 is 4832173511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 11537123840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30440771 + ... + 30441149.

It is an arithmetic number, because the mean of its divisors is an integer number (100761408).

Almost surely, 2^11537123840 is an apocalyptic number.

11537123840 is a gapful number since it is divisible by the number (10) 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 11537123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121825280).

11537123840 is an abundant number, since it is smaller than the sum of its proper divisors (20706526720).

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

11537123840 is a wasteful number, since it uses less digits than its factorization.

11537123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 11537123840 in words is "eleven billion, five hundred thirty-seven million, one hundred twenty-three thousand, eight hundred forty".