2116552785408 has 320 divisors, whose sum is σ = 6663593502720. Its totient is φ = 661022539776.

The previous prime is 2116552785401. The next prime is 2116552785409. The reversal of 2116552785408 is 8045872556112.

2116552785408 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 552 + 7 + 85 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116552785401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52386591 + ... + 52426977.

It is an arithmetic number, because the mean of its divisors is an integer number (20823729696).

Almost surely, 2^{2116552785408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116552785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331796751360).

2116552785408 is an abundant number, since it is smaller than the sum of its proper divisors (4547040717312).

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

2116552785408 is a wasteful number, since it uses less digits than its factorization.

2116552785408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40654 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 2116552785408 in words is "two trillion, one hundred sixteen billion, five hundred fifty-two million, seven hundred eighty-five thousand, four hundred eight".