2011553302528 has 384 divisors, whose sum is σ = 5163269529600. Its totient is φ = 760828723200.

The previous prime is 2011553302519. The next prime is 2011553302559. The reversal of 2011553302528 is 8252033551102.

It is a super-2 number, since 2×2011553302528² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759935701 + ... + 759938347.

It is an arithmetic number, because the mean of its divisors is an integer number (13446014400).

Almost surely, 2^{2011553302528} is an apocalyptic number.

2011553302528 is a gapful number since it is divisible by the number (28) 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 2011553302528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581634764800).

2011553302528 is an abundant number, since it is smaller than the sum of its proper divisors (3151716227072).

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

2011553302528 is a wasteful number, since it uses less digits than its factorization.

2011553302528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 2011553302528 in words is "two trillion, eleven billion, five hundred fifty-three million, three hundred two thousand, five hundred twenty-eight".