215080427520 has 1120 divisors, whose sum is σ = 903091249440. Its totient is φ = 49161240576.

The previous prime is 215080427491. The next prime is 215080427521. The reversal of 215080427520 is 25724080512.

It is a happy number.

215080427520 is a `hidden beast` number, since 2 + 1 + 50 + 80 + 4 + 2 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (215080427521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30725775357 + ... + 30725775363.

Almost surely, 2^215080427520 is an apocalyptic number.

215080427520 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 215080427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451545624720).

215080427520 is an abundant number, since it is smaller than the sum of its proper divisors (688010821920).

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

215080427520 is an frugal number, since it uses more digits than its factorization.

215080427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 215080427520 in words is "two hundred fifteen billion, eighty million, four hundred twenty-seven thousand, five hundred twenty".