2013916753856 has 224 divisors, whose sum is σ = 4981233745920. Its totient is φ = 788355763200.

The previous prime is 2013916753843. The next prime is 2013916753859. The reversal of 2013916753856 is 6583576193102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013916753859) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71495231 + ... + 71523393.

Almost surely, 2^{2013916753856} 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 2013916753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490616872960).

2013916753856 is an abundant number, since it is smaller than the sum of its proper divisors (2967316992064).

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

2013916753856 is a wasteful number, since it uses less digits than its factorization.

2013916753856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28503 (or 28493 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 56.

The spelling of 2013916753856 in words is "two trillion, thirteen billion, nine hundred sixteen million, seven hundred fifty-three thousand, eight hundred fifty-six".