215402305041520 has 80 divisors (see below), whose sum is σ = 505897679315520. Its totient is φ = 85286118656000.

The previous prime is 215402305041509. The next prime is 215402305041533. The reversal of 215402305041520 is 25140503204512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28353765 + ... + 35138875.

It is an arithmetic number, because the mean of its divisors is an integer number (6323720991444).

Almost surely, 2^{215402305041520} is an apocalyptic number.

215402305041520 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 215402305041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252948839657760).

215402305041520 is an abundant number, since it is smaller than the sum of its proper divisors (290495374274000).

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

215402305041520 is a wasteful number, since it uses less digits than its factorization.

215402305041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789154 (or 6789148 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 215402305041520 in words is "two hundred fifteen trillion, four hundred two billion, three hundred five million, forty-one thousand, five hundred twenty".