11601517254240 has 192 divisors, whose sum is σ = 36775614339072. Its totient is φ = 3074203238400.

The previous prime is 11601517254211. The next prime is 11601517254269. The reversal of 11601517254240 is 4245271510611.

It is an interprime number because it is at equal distance from previous prime (11601517254211) and next prime (11601517254269).

It is a congruent number.

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, 613470385 + ... + 613489295.

It is an arithmetic number, because the mean of its divisors is an integer number (191539658016).

Almost surely, 2^{11601517254240} is an apocalyptic number.

11601517254240 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 11601517254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18387807169536).

11601517254240 is an abundant number, since it is smaller than the sum of its proper divisors (25174097084832).

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

11601517254240 is a wasteful number, since it uses less digits than its factorization.

11601517254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26933 (or 26925 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

Adding to 11601517254240 its reverse (4245271510611), we get a palindrome (15846788764851).

The spelling of 11601517254240 in words is "eleven trillion, six hundred one billion, five hundred seventeen million, two hundred fifty-four thousand, two hundred forty".