214829260800 has 1344 divisors, whose sum is σ = 936111513600. Its totient is φ = 42113433600.

The previous prime is 214829260799. The next prime is 214829260861. The reversal of 214829260800 is 8062928412.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×214829260800² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898867081 + ... + 898867319.

Almost surely, 2^214829260800 is an apocalyptic number.

214829260800 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 214829260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468055756800).

214829260800 is an abundant number, since it is smaller than the sum of its proper divisors (721282252800).

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

214829260800 is a wasteful number, since it uses less digits than its factorization.

214829260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 214829260800 in words is "two hundred fourteen billion, eight hundred twenty-nine million, two hundred sixty thousand, eight hundred".