2011150528920 has 384 divisors, whose sum is σ = 7096249218240. Its totient is φ = 491044700160.

The previous prime is 2011150528859. The next prime is 2011150528921. The reversal of 2011150528920 is 298250511102.

2011150528920 is a `hidden beast` number, since 20 + 11 + 15 + 0 + 528 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011150528921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 298519792 + ... + 298526528.

Almost surely, 2^{2011150528920} is an apocalyptic number.

2011150528920 is a gapful number since it is divisible by the number (20) 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 2011150528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548124609120).

2011150528920 is an abundant number, since it is smaller than the sum of its proper divisors (5085098689320).

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

2011150528920 is a wasteful number, since it uses less digits than its factorization.

2011150528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 2011150528920 in words is "two trillion, eleven billion, one hundred fifty million, five hundred twenty-eight thousand, nine hundred twenty".