2116162557600 has 288 divisors, whose sum is σ = 8477673644160. Its totient is φ = 446486999040.

The previous prime is 2116162557589. The next prime is 2116162557647. The reversal of 2116162557600 is 67552616112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626295 + ... + 5063094.

It is an arithmetic number, because the mean of its divisors is an integer number (29436366820).

Almost surely, 2^{2116162557600} is an apocalyptic number.

2116162557600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116162557600 is an abundant number, since it is smaller than the sum of its proper divisors (6361511086560).

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

2116162557600 is a wasteful number, since it uses less digits than its factorization.

2116162557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9689432 (or 9689419 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

It can be divided in two parts, 2116162 and 557600, that added together give a palindrome (2673762).

The spelling of 2116162557600 in words is "two trillion, one hundred sixteen billion, one hundred sixty-two million, five hundred fifty-seven thousand, six hundred".