3116753640000 has 4200 divisors, whose sum is σ = 16017275381184. Its totient is φ = 578534400000.

The previous prime is 3116753639977. The next prime is 3116753640029. The reversal of 3116753640000 is 463576113.

3116753640000 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 7 + 5 + 3 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 100540439985 + ... + 100540440015.

Almost surely, 2^{3116753640000} is an apocalyptic number.

3116753640000 is a gapful number since it is divisible by the number (30) 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 3116753640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008637690592).

3116753640000 is an abundant number, since it is smaller than the sum of its proper divisors (12900521741184).

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

3116753640000 is a wasteful number, since it uses less digits than its factorization.

3116753640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 3116753640000 in words is "three trillion, one hundred sixteen billion, seven hundred fifty-three million, six hundred forty thousand".