11156950180320 has 384 divisors, whose sum is σ = 41483665907712. Its totient is φ = 2466527846400.

The previous prime is 11156950180303. The next prime is 11156950180349. The reversal of 11156950180320 is 2308105965111.

It is a super-2 number, since 2×11156950180320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193812982 + ... + 193870538.

It is an arithmetic number, because the mean of its divisors is an integer number (108030379968).

Almost surely, 2^{11156950180320} is an apocalyptic number.

11156950180320 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 11156950180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741832953856).

11156950180320 is an abundant number, since it is smaller than the sum of its proper divisors (30326715727392).

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

11156950180320 is a wasteful number, since it uses less digits than its factorization.

11156950180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59474 (or 59466 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 11156950180320 in words is "eleven trillion, one hundred fifty-six billion, nine hundred fifty million, one hundred eighty thousand, three hundred twenty".