216501025242400 has 36 divisors (see below), whose sum is σ = 528533127874962. Its totient is φ = 86600410096640.

The previous prime is 216501025242277. The next prime is 216501025242407. The reversal of 216501025242400 is 4242520105612.

It can be written as a sum of positive squares in 3 ways, for example, as 172451840296464 + 44049184945936 = 13132092^2 + 6636956^2 .

It is not an unprimeable number, because it can be changed into a prime (216501025242407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135313139977 + ... + 135313141576.

Almost surely, 2^{216501025242400} is an apocalyptic number.

216501025242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216501025242400 is an abundant number, since it is smaller than the sum of its proper divisors (312032102632562).

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

216501025242400 is a wasteful number, since it uses less digits than its factorization.

216501025242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270626281573 (or 270626281560 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 216501025242400 in words is "two hundred sixteen trillion, five hundred one billion, twenty-five million, two hundred forty-two thousand, four hundred".