11076156000 has 1536 divisors, whose sum is σ = 52835328000. Its totient is φ = 2235340800.

The previous prime is 11076155983. The next prime is 11076156019. The reversal of 11076156000 is 65167011.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481571989 + ... + 481572011.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^11076156000 is an apocalyptic number.

11076156000 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 11076156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

11076156000 is an abundant number, since it is smaller than the sum of its proper divisors (41759172000).

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

11076156000 is a wasteful number, since it uses less digits than its factorization.

11076156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11076156000 in words is "eleven billion, seventy-six million, one hundred fifty-six thousand".