214739827278080 has 288 divisors, whose sum is σ = 567845038504800. Its totient is φ = 77300351631360.

The previous prime is 214739827278061. The next prime is 214739827278133. The reversal of 214739827278080 is 80872728937412.

It can be written as a sum of positive squares in 16 ways, for example, as 36009024565504 + 178730802712576 = 6000752^2 + 13369024^2 .

It is a super-2 number, since 2×214739827278080² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214739827278080.

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, 977540096 + ... + 977759744.

It is an arithmetic number, because the mean of its divisors is an integer number (1971684161475).

Almost surely, 2^{214739827278080} is an apocalyptic number.

214739827278080 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 214739827278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283922519252400).

214739827278080 is an abundant number, since it is smaller than the sum of its proper divisors (353105211226720).

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

214739827278080 is a wasteful number, since it uses less digits than its factorization.

214739827278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221157 (or 221143 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 68.

The spelling of 214739827278080 in words is "two hundred fourteen trillion, seven hundred thirty-nine billion, eight hundred twenty-seven million, two hundred seventy-eight thousand, eighty".