211156113388000 has 384 divisors, whose sum is σ = 601662222120960. Its totient is φ = 72022521600000.

The previous prime is 211156113387991. The next prime is 211156113388009. The reversal of 211156113388000 is 883311651112.

It is an interprime number because it is at equal distance from previous prime (211156113387991) and next prime (211156113388009).

It is a super-2 number, since 2×211156113388000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211156113388009) 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 63 ways as a sum of consecutive naturals, for example, 83185609 + ... + 85686391.

It is an arithmetic number, because the mean of its divisors is an integer number (1566828703440).

Almost surely, 2^{211156113388000} is an apocalyptic number.

211156113388000 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 211156113388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300831111060480).

211156113388000 is an abundant number, since it is smaller than the sum of its proper divisors (390506108732960).

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

211156113388000 is a wasteful number, since it uses less digits than its factorization.

211156113388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500939 (or 2500921 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 211156113388000 in words is "two hundred eleven trillion, one hundred fifty-six billion, one hundred thirteen million, three hundred eighty-eight thousand".