11601505868640 has 96 divisors (see below), whose sum is σ = 36545360011776. Its totient is φ = 3093682705920.

The previous prime is 11601505868633. The next prime is 11601505868657. The reversal of 11601505868640 is 4686850510611.

11601505868640 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 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, 34383955 + ... + 34719725.

It is an arithmetic number, because the mean of its divisors is an integer number (380680833456).

Almost surely, 2^{11601505868640} is an apocalyptic number.

11601505868640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11601505868640 is an abundant number, since it is smaller than the sum of its proper divisors (24943854143136).

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

11601505868640 is a wasteful number, since it uses less digits than its factorization.

11601505868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407772 (or 407764 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 11601505868640 in words is "eleven trillion, six hundred one billion, five hundred five million, eight hundred sixty-eight thousand, six hundred forty".