11355106620 has 384 divisors, whose sum is σ = 38691717120. Its totient is φ = 2466048000.

The previous prime is 11355106619. The next prime is 11355106627. The reversal of 11355106620 is 2660155311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355106627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59450725 + ... + 59450915.

It is an arithmetic number, because the mean of its divisors is an integer number (100759680).

Almost surely, 2^11355106620 is an apocalyptic number.

11355106620 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 11355106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345858560).

11355106620 is an abundant number, since it is smaller than the sum of its proper divisors (27336610500).

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

11355106620 is a wasteful number, since it uses less digits than its factorization.

11355106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 11355106620 in words is "eleven billion, three hundred fifty-five million, one hundred six thousand, six hundred twenty".