216125760 has 336 divisors, whose sum is σ = 786018240. Its totient is φ = 50135040.

The previous prime is 216125737. The next prime is 216125837. The reversal of 216125760 is 67521612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271340 + ... + 5271380.

It is an arithmetic number, because the mean of its divisors is an integer number (2339340).

Almost surely, 2^216125760 is an apocalyptic number.

216125760 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 216125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393009120).

216125760 is an abundant number, since it is smaller than the sum of its proper divisors (569892480).

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

216125760 is a wasteful number, since it uses less digits than its factorization.

216125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 216125760 is about 14701.2162762133. The cubic root of 216125760 is about 600.1164218529.

It can be divided in two parts, 21612 and 5760, that added together give a palindrome (27372).

The spelling of 216125760 in words is "two hundred sixteen million, one hundred twenty-five thousand, seven hundred sixty".