215694851349120 has 1024 divisors, whose sum is σ = 816672192860160. Its totient is φ = 47734586081280.

The previous prime is 215694851349101. The next prime is 215694851349121. The reversal of 215694851349120 is 21943158496512.

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

It is not an unprimeable number, because it can be changed into a prime (215694851349121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14488798317 + ... + 14488813203.

It is an arithmetic number, because the mean of its divisors is an integer number (797531438340).

Almost surely, 2^{215694851349120} is an apocalyptic number.

215694851349120 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 215694851349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408336096430080).

215694851349120 is an abundant number, since it is smaller than the sum of its proper divisors (600977341511040).

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

215694851349120 is a wasteful number, since it uses less digits than its factorization.

215694851349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15513 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 215694851349120 in words is "two hundred fifteen trillion, six hundred ninety-four billion, eight hundred fifty-one million, three hundred forty-nine thousand, one hundred twenty".