213734492160 has 384 divisors, whose sum is σ = 792529920000. Its totient is φ = 48162078720.

The previous prime is 213734492159. The next prime is 213734492183. The reversal of 213734492160 is 61294437312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 15260841 + ... + 15274839.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880000).

Almost surely, 2^213734492160 is an apocalyptic number.

213734492160 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 213734492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960000).

213734492160 is an abundant number, since it is smaller than the sum of its proper divisors (578795427840).

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

213734492160 is a wasteful number, since it uses less digits than its factorization.

213734492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14107 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 213734492160 in words is "two hundred thirteen billion, seven hundred thirty-four million, four hundred ninety-two thousand, one hundred sixty".