215410199748480 has 768 divisors, whose sum is σ = 855777440044800. Its totient is φ = 51335534592000.

The previous prime is 215410199748439. The next prime is 215410199748487. The reversal of 215410199748480 is 84847991014512.

215410199748480 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 10 + 19 + 97 + 48 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215410199748487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99865380 + ... + 101999580.

It is an arithmetic number, because the mean of its divisors is an integer number (1114293541725).

Almost surely, 2^{215410199748480} is an apocalyptic number.

215410199748480 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 215410199748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427888720022400).

215410199748480 is an abundant number, since it is smaller than the sum of its proper divisors (640367240296320).

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

215410199748480 is a wasteful number, since it uses less digits than its factorization.

215410199748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134305 (or 2134281 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 215410199748480 in words is "two hundred fifteen trillion, four hundred ten billion, one hundred ninety-nine million, seven hundred forty-eight thousand, four hundred eighty".