213969272160 has 768 divisors, whose sum is σ = 839607552000. Its totient is φ = 45649723392.

The previous prime is 213969272149. The next prime is 213969272177. The reversal of 213969272160 is 61272969312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228355212 + ... + 228356148.

It is an arithmetic number, because the mean of its divisors is an integer number (1093239000).

Almost surely, 2^213969272160 is an apocalyptic number.

213969272160 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 213969272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419803776000).

213969272160 is an abundant number, since it is smaller than the sum of its proper divisors (625638279840).

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

213969272160 is a wasteful number, since it uses less digits than its factorization.

213969272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 213969272160 in words is "two hundred thirteen billion, nine hundred sixty-nine million, two hundred seventy-two thousand, one hundred sixty".