215828336387040 has 384 divisors, whose sum is σ = 769048607803392. Its totient is φ = 50480564428800.

The previous prime is 215828336387009. The next prime is 215828336387077. The reversal of 215828336387040 is 40783633828512.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16691982 + ... + 26651058.

It is an arithmetic number, because the mean of its divisors is an integer number (2002730749488).

Almost surely, 2^{215828336387040} is an apocalyptic number.

215828336387040 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 215828336387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384524303901696).

215828336387040 is an abundant number, since it is smaller than the sum of its proper divisors (553220271416352).

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

215828336387040 is a wasteful number, since it uses less digits than its factorization.

215828336387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959282 (or 9959274 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 215828336387040 in words is "two hundred fifteen trillion, eight hundred twenty-eight billion, three hundred thirty-six million, three hundred eighty-seven thousand, forty".