2211169725072 has 480 divisors, whose sum is σ = 7806617844480. Its totient is φ = 567540449280.

The previous prime is 2211169725067. The next prime is 2211169725091. The reversal of 2211169725072 is 2705279611122.

2211169725072 is a `hidden beast` number, since 2 + 2 + 1 + 11 + 69 + 72 + 507 + 2 = 666.

It is an unprimeable number.

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, 999171838 + ... + 999174050.

It is an arithmetic number, because the mean of its divisors is an integer number (16263787176).

Almost surely, 2^{2211169725072} is an apocalyptic number.

2211169725072 is a gapful number since it is divisible by the number (22) 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 2211169725072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903308922240).

2211169725072 is an abundant number, since it is smaller than the sum of its proper divisors (5595448119408).

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

2211169725072 is a wasteful number, since it uses less digits than its factorization.

2211169725072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2211169725072 in words is "two trillion, two hundred eleven billion, one hundred sixty-nine million, seven hundred twenty-five thousand, seventy-two".