11860635058272 has 1920 divisors, whose sum is σ = 48689656823808. Its totient is φ = 2732399308800.

The previous prime is 11860635058253. The next prime is 11860635058273. The reversal of 11860635058272 is 27285053606811.

11860635058272 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 0 + 6 + 3 + 50 + 582 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11860635058273) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13432202343 + ... + 13432203225.

Almost surely, 2^{11860635058272} is an apocalyptic number.

11860635058272 is a gapful number since it is divisible by the number (12) 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 11860635058272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344828411904).

11860635058272 is an abundant number, since it is smaller than the sum of its proper divisors (36829021765536).

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

11860635058272 is a wasteful number, since it uses less digits than its factorization.

11860635058272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 11860635058272 in words is "eleven trillion, eight hundred sixty billion, six hundred thirty-five million, fifty-eight thousand, two hundred seventy-two".