215453643120 has 400 divisors, whose sum is σ = 790436646912. Its totient is φ = 54305717760.

The previous prime is 215453643109. The next prime is 215453643127. The reversal of 215453643120 is 21346354512.

215453643120 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 5 + 3 + 643 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215453643127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8625369 + ... + 8650311.

Almost surely, 2^215453643120 is an apocalyptic number.

215453643120 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 215453643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395218323456).

215453643120 is an abundant number, since it is smaller than the sum of its proper divisors (574983003792).

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

215453643120 is a wasteful number, since it uses less digits than its factorization.

215453643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25042 (or 25027 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 215453643120 its reverse (21346354512), we get a palindrome (236799997632).

It can be divided in two parts, 2154536 and 43120, that added together give a triangular number (2197656 = T₂₀₉₆).

The spelling of 215453643120 in words is "two hundred fifteen billion, four hundred fifty-three million, six hundred forty-three thousand, one hundred twenty".