211151652106480 has 160 divisors (see below), whose sum is σ = 514635948066240. Its totient is φ = 80478230568960.

The previous prime is 211151652106457. The next prime is 211151652106501. The reversal of 211151652106480 is 84601256151112.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 2139950586 + ... + 2140049254.

It is an arithmetic number, because the mean of its divisors is an integer number (3216474675414).

Almost surely, 2^{211151652106480} is an apocalyptic number.

211151652106480 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 211151652106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257317974033120).

211151652106480 is an abundant number, since it is smaller than the sum of its proper divisors (303484295959760).

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

211151652106480 is a wasteful number, since it uses less digits than its factorization.

211151652106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113939 (or 113933 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 211151652106480 in words is "two hundred eleven trillion, one hundred fifty-one billion, six hundred fifty-two million, one hundred six thousand, four hundred eighty".