11357454221820 has 576 divisors, whose sum is σ = 43263415802880. Its totient is φ = 2441540579328.

The previous prime is 11357454221797. The next prime is 11357454221909. The reversal of 11357454221820 is 2812245475311.

It is a happy number.

11357454221820 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 7 + 4 + 542 + 21 + 82 + 0 = 666.

It is a super-2 number, since 2×11357454221820² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 913192642 + ... + 913205078.

It is an arithmetic number, because the mean of its divisors is an integer number (75110096880).

Almost surely, 2^{11357454221820} is an apocalyptic number.

11357454221820 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 11357454221820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631707901440).

11357454221820 is an abundant number, since it is smaller than the sum of its proper divisors (31905961581060).

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

11357454221820 is a wasteful number, since it uses less digits than its factorization.

11357454221820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 11357454221820 in words is "eleven trillion, three hundred fifty-seven billion, four hundred fifty-four million, two hundred twenty-one thousand, eight hundred twenty".