2011000999956 has 96 divisors (see below), whose sum is σ = 5352045431040. Its totient is φ = 582207105024.

The previous prime is 2011000999921. The next prime is 2011000999963. The reversal of 2011000999956 is 6599990001102.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2011000999899 and 2011000999908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9460650 + ... + 9670878.

It is an arithmetic number, because the mean of its divisors is an integer number (55750473240).

Almost surely, 2^{2011000999956} is an apocalyptic number.

2011000999956 is a gapful number since it is divisible by the number (26) 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 2011000999956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676022715520).

2011000999956 is an abundant number, since it is smaller than the sum of its proper divisors (3341044431084).

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

2011000999956 is a wasteful number, since it uses less digits than its factorization.

2011000999956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213873 (or 213871 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 51.

The spelling of 2011000999956 in words is "two trillion, eleven billion, nine hundred ninety-nine thousand, nine hundred fifty-six".