11377722906030 has 256 divisors, whose sum is σ = 32324694312960. Its totient is φ = 2536016947200.

The previous prime is 11377722906029. The next prime is 11377722906037. The reversal of 11377722906030 is 3060922777311.

It is a super-3 number, since 3×11377722906030³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11377722906037) 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, 235339660 + ... + 235388000.

It is an arithmetic number, because the mean of its divisors is an integer number (126268337160).

Almost surely, 2^{11377722906030} is an apocalyptic number.

11377722906030 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 11377722906030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162347156480).

11377722906030 is an abundant number, since it is smaller than the sum of its proper divisors (20946971406930).

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

11377722906030 is a wasteful number, since it uses less digits than its factorization.

11377722906030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49787.

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 11377722906030 in words is "eleven trillion, three hundred seventy-seven billion, seven hundred twenty-two million, nine hundred six thousand, thirty".