2116061554400 has 144 divisors (see below), whose sum is σ = 5192628431760. Its totient is φ = 842041958400.

The previous prime is 2116061554391. The next prime is 2116061554487. The reversal of 2116061554400 is 44551606112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206098067 + ... + 206108333.

It is an arithmetic number, because the mean of its divisors is an integer number (36059919665).

Almost surely, 2^{2116061554400} is an apocalyptic number.

2116061554400 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 2116061554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596314215880).

2116061554400 is an abundant number, since it is smaller than the sum of its proper divisors (3076566877360).

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

2116061554400 is a wasteful number, since it uses less digits than its factorization.

2116061554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597 (or 11584 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 2116061554400 in words is "two trillion, one hundred sixteen billion, sixty-one million, five hundred fifty-four thousand, four hundred".