11137848960 has 192 divisors, whose sum is σ = 41298469920. Its totient is φ = 2545772544.

The previous prime is 11137848901. The next prime is 11137848961. The reversal of 11137848960 is 6984873111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11137848961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34887 + ... + 153273.

Almost surely, 2^11137848960 is an apocalyptic number.

11137848960 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 11137848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20649234960).

11137848960 is an abundant number, since it is smaller than the sum of its proper divisors (30160620960).

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

11137848960 is a wasteful number, since it uses less digits than its factorization.

11137848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118423 (or 118404 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 11137848960 in words is "eleven billion, one hundred thirty-seven million, eight hundred forty-eight thousand, nine hundred sixty".