213539488800 has 1152 divisors, whose sum is σ = 849473630208. Its totient is φ = 45957120000.

The previous prime is 213539488787. The next prime is 213539488819. The reversal of 213539488800 is 8884935312.

It is a super-2 number, since 2×213539488800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1414168725 + ... + 1414168875.

It is an arithmetic number, because the mean of its divisors is an integer number (737390304).

Almost surely, 2^213539488800 is an apocalyptic number.

213539488800 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 213539488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424736815104).

213539488800 is an abundant number, since it is smaller than the sum of its proper divisors (635934141408).

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

213539488800 is a wasteful number, since it uses less digits than its factorization.

213539488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 213539488800 in words is "two hundred thirteen billion, five hundred thirty-nine million, four hundred eighty-eight thousand, eight hundred".