213880780800 has 1152 divisors, whose sum is σ = 877443840000. Its totient is φ = 50748456960.

The previous prime is 213880780747. The next prime is 213880780811. The reversal of 213880780800 is 8087088312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 446514961 + ... + 446515439.

It is an arithmetic number, because the mean of its divisors is an integer number (761670000).

Almost surely, 2^213880780800 is an apocalyptic number.

213880780800 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 213880780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920000).

213880780800 is an abundant number, since it is smaller than the sum of its proper divisors (663563059200).

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

213880780800 is a wasteful number, since it uses less digits than its factorization.

213880780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 213880780800 in words is "two hundred thirteen billion, eight hundred eighty million, seven hundred eighty thousand, eight hundred".