11726172540 has 72 divisors (see below), whose sum is σ = 35637686448. Its totient is φ = 3120975360.

The previous prime is 11726172527. The next prime is 11726172553. The reversal of 11726172540 is 4527162711.

11726172540 is a `hidden beast` number, since 1 + 17 + 2 + 617 + 25 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11726172527) and next prime (11726172553).

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 = 11726172495 and 11726172504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31860 + ... + 156420.

Almost surely, 2^11726172540 is an apocalyptic number.

11726172540 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 11726172540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818843224).

11726172540 is an abundant number, since it is smaller than the sum of its proper divisors (23911513908).

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

11726172540 is a wasteful number, since it uses less digits than its factorization.

11726172540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125099 (or 125094 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11726172540 in words is "eleven billion, seven hundred twenty-six million, one hundred seventy-two thousand, five hundred forty".