11654172540 has 96 divisors (see below), whose sum is σ = 36293382720. Its totient is φ = 3104697600.

The previous prime is 11654172529. The next prime is 11654172553. The reversal of 11654172540 is 4527145611.

11654172540 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 41 + 72 + 540 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11654172495 and 11654172504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562770 + ... + 583110.

It is an arithmetic number, because the mean of its divisors is an integer number (378056070).

Almost surely, 2^11654172540 is an apocalyptic number.

11654172540 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 11654172540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146691360).

11654172540 is an abundant number, since it is smaller than the sum of its proper divisors (24639210180).

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

11654172540 is a wasteful number, since it uses less digits than its factorization.

11654172540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21420 (or 21412 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11654172540 in words is "eleven billion, six hundred fifty-four million, one hundred seventy-two thousand, five hundred forty".