11500601151072 has 96 divisors (see below), whose sum is σ = 32934925054080. Its totient is φ = 3484884049920.

The previous prime is 11500601151041. The next prime is 11500601151131. The reversal of 11500601151072 is 27015110600511.

11500601151072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11500601151072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26345079 + ... + 26778057.

It is an arithmetic number, because the mean of its divisors is an integer number (343072135980).

Almost surely, 2^{11500601151072} is an apocalyptic number.

11500601151072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11500601151072 is an abundant number, since it is smaller than the sum of its proper divisors (21434323903008).

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

11500601151072 is a wasteful number, since it uses less digits than its factorization.

11500601151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458156 (or 458148 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 30.

Adding to 11500601151072 its reverse (27015110600511), we get a palindrome (38515711751583).

The spelling of 11500601151072 in words is "eleven trillion, five hundred billion, six hundred one million, one hundred fifty-one thousand, seventy-two".