215451320400 has 90 divisors (see below), whose sum is σ = 747675941870. Its totient is φ = 57453684480.

The previous prime is 215451320393. The next prime is 215451320429. The reversal of 215451320400 is 4023154512.

215451320400 is a `hidden beast` number, since 2 + 1 + 5 + 451 + 3 + 204 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5111678016 + 210339642384 = 71496^2 + 458628^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29920195 + ... + 29927394.

Almost surely, 2^215451320400 is an apocalyptic number.

215451320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215451320400 is an abundant number, since it is smaller than the sum of its proper divisors (532224621470).

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

215451320400 is a wasteful number, since it uses less digits than its factorization.

215451320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59847613 (or 59847599 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 215451320400 its reverse (4023154512), we get a palindrome (219474474912).

The spelling of 215451320400 in words is "two hundred fifteen billion, four hundred fifty-one million, three hundred twenty thousand, four hundred".