214662053760 has 1152 divisors, whose sum is σ = 888014080800. Its totient is φ = 43940413440.

The previous prime is 214662053729. The next prime is 214662053777. The reversal of 214662053760 is 67350266412.

214662053760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214662053760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1240821034 + ... + 1240821206.

Almost surely, 2^214662053760 is an apocalyptic number.

214662053760 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 214662053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444007040400).

214662053760 is an abundant number, since it is smaller than the sum of its proper divisors (673352027040).

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

214662053760 is a wasteful number, since it uses less digits than its factorization.

214662053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 214662053760 in words is "two hundred fourteen billion, six hundred sixty-two million, fifty-three thousand, seven hundred sixty".