11845279453560 has 256 divisors, whose sum is σ = 40750143206400. Its totient is φ = 2698314854400.

The previous prime is 11845279453541. The next prime is 11845279453573. The reversal of 11845279453560 is 6535497254811.

11845279453560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11845279453494 and 11845279453503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964514620 + ... + 964526900.

It is an arithmetic number, because the mean of its divisors is an integer number (159180246900).

It is a 1-persistent number, because it is pandigital, but 2⋅11845279453560 = 23690558907120 is not.

Almost surely, 2^{11845279453560} is an apocalyptic number.

11845279453560 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 11845279453560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375071603200).

11845279453560 is an abundant number, since it is smaller than the sum of its proper divisors (28904863752840).

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

11845279453560 is a wasteful number, since it uses less digits than its factorization.

11845279453560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16102 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 11845279453560 in words is "eleven trillion, eight hundred forty-five billion, two hundred seventy-nine million, four hundred fifty-three thousand, five hundred sixty".