11879493265350 has 384 divisors, whose sum is σ = 35667774259200. Its totient is φ = 2897001676800.

The previous prime is 11879493265349. The next prime is 11879493265391. The reversal of 11879493265350 is 5356239497811.

11879493265350 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 9 + 4 + 93 + 2 + 6 + 535 + 0 = 666.

It is a super-2 number, since 2×11879493265350² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120480070 + ... + 120578630.

It is an arithmetic number, because the mean of its divisors is an integer number (92884828800).

It is a 1-persistent number, because it is pandigital, but 2⋅11879493265350 = 23758986530700 is not.

Almost surely, 2^{11879493265350} is an apocalyptic number.

11879493265350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11879493265350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833887129600).

11879493265350 is an abundant number, since it is smaller than the sum of its proper divisors (23788280993850).

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

11879493265350 is a wasteful number, since it uses less digits than its factorization.

11879493265350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98765 (or 98754 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 11879493265350 in words is "eleven trillion, eight hundred seventy-nine billion, four hundred ninety-three million, two hundred sixty-five thousand, three hundred fifty".