11890838050560 has 1728 divisors, whose sum is σ = 51097257050112. Its totient is φ = 2588645081088.

The previous prime is 11890838050543. The next prime is 11890838050577. The reversal of 11890838050560 is 6505083809811.

11890838050560 is a `hidden beast` number, since 1 + 18 + 90 + 8 + 38 + 0 + 505 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11890838050543) and next prime (11890838050577).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×11890838050560² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11890838050497 and 11890838050506.

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, 18378420157 + ... + 18378420803.

It is an arithmetic number, because the mean of its divisors is an integer number (29570171904).

Almost surely, 2^{11890838050560} is an apocalyptic number.

11890838050560 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 11890838050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25548628525056).

11890838050560 is an abundant number, since it is smaller than the sum of its proper divisors (39206418999552).

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

11890838050560 is an equidigital number, since it uses as much as digits as its factorization.

11890838050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11890838050560 in words is "eleven trillion, eight hundred ninety billion, eight hundred thirty-eight million, fifty thousand, five hundred sixty".