2155516399520 has 288 divisors, whose sum is σ = 5819687673408. Its totient is φ = 753274368000.

The previous prime is 2155516399459. The next prime is 2155516399579. The reversal of 2155516399520 is 259936155512.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53161655 + ... + 53202185.

It is an arithmetic number, because the mean of its divisors is an integer number (20207248866).

Almost surely, 2^{2155516399520} is an apocalyptic number.

2155516399520 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 2155516399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909843836704).

2155516399520 is an abundant number, since it is smaller than the sum of its proper divisors (3664171273888).

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

2155516399520 is a wasteful number, since it uses less digits than its factorization.

2155516399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40676 (or 40657 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 53.

The spelling of 2155516399520 in words is "two trillion, one hundred fifty-five billion, five hundred sixteen million, three hundred ninety-nine thousand, five hundred twenty".