11172761257660 has 24 divisors (see below), whose sum is σ = 23568012994176. Its totient is φ = 4449063673920.

The previous prime is 11172761257643. The next prime is 11172761257661. The reversal of 11172761257660 is 6675216727111.

It is a junction number, because it is equal to n+sod(n) for n = 11172761257598 and 11172761257607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172761257661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252547251 + ... + 1252556170.

It is an arithmetic number, because the mean of its divisors is an integer number (982000541424).

Almost surely, 2^{11172761257660} is an apocalyptic number.

11172761257660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11172761257660 is an abundant number, since it is smaller than the sum of its proper divisors (12395251736516).

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

11172761257660 is a wasteful number, since it uses less digits than its factorization.

11172761257660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505103653 (or 2505103651 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 11172761257660 in words is "eleven trillion, one hundred seventy-two billion, seven hundred sixty-one million, two hundred fifty-seven thousand, six hundred sixty".