11701148160 has 320 divisors, whose sum is σ = 40537905408. Its totient is φ = 2862219264.

The previous prime is 11701148159. The next prime is 11701148167. The reversal of 11701148160 is 6184110711.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11701148167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23262469 + ... + 23262971.

Almost surely, 2^11701148160 is an apocalyptic number.

11701148160 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 11701148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268952704).

11701148160 is an abundant number, since it is smaller than the sum of its proper divisors (28836757248).

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

11701148160 is a wasteful number, since it uses less digits than its factorization.

11701148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

Adding to 11701148160 its reverse (6184110711), we get a palindrome (17885258871).

The spelling of 11701148160 in words is "eleven billion, seven hundred one million, one hundred forty-eight thousand, one hundred sixty".