216292401265920 has 1296 divisors, whose sum is σ = 826018465003200. Its totient is φ = 48093431070720.

The previous prime is 216292401265903. The next prime is 216292401265933. The reversal of 216292401265920 is 29562104292612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142017334279 + ... + 142017335801.

It is an arithmetic number, because the mean of its divisors is an integer number (637359926700).

Almost surely, 2^{216292401265920} is an apocalyptic number.

216292401265920 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 216292401265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413009232501600).

216292401265920 is an abundant number, since it is smaller than the sum of its proper divisors (609726063737280).

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

216292401265920 is a wasteful number, since it uses less digits than its factorization.

216292401265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 216292401265920 in words is "two hundred sixteen trillion, two hundred ninety-two billion, four hundred one million, two hundred sixty-five thousand, nine hundred twenty".