214525051311520 has 96 divisors (see below), whose sum is σ = 510099974750016. Its totient is φ = 85255317504000.

The previous prime is 214525051311497. The next prime is 214525051311541. The reversal of 214525051311520 is 25113150525412.

It is a self number, because there is not a number n which added to its sum of digits gives 214525051311520.

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 15 ways as a sum of consecutive naturals, for example, 13973095 + ... + 24985945.

It is an arithmetic number, because the mean of its divisors is an integer number (5313541403646).

Almost surely, 2^{214525051311520} is an apocalyptic number.

214525051311520 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 214525051311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255049987375008).

214525051311520 is an abundant number, since it is smaller than the sum of its proper divisors (295574923438496).

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

214525051311520 is a wasteful number, since it uses less digits than its factorization.

214525051311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013654 (or 11013646 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 214525051311520 in words is "two hundred fourteen trillion, five hundred twenty-five billion, fifty-one million, three hundred eleven thousand, five hundred twenty".