13851020256 has 96 divisors (see below), whose sum is σ = 37970166528. Its totient is φ = 4412728320.

The previous prime is 13851020243. The next prime is 13851020269. The reversal of 13851020256 is 65202015831.

It is an interprime number because it is at equal distance from previous prime (13851020243) and next prime (13851020269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070411 + ... + 5073141.

It is an arithmetic number, because the mean of its divisors is an integer number (395522568).

Almost surely, 2^13851020256 is an apocalyptic number.

13851020256 is a gapful number since it is divisible by the number (16) 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 13851020256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985083264).

13851020256 is an abundant number, since it is smaller than the sum of its proper divisors (24119146272).

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

13851020256 is a wasteful number, since it uses less digits than its factorization.

13851020256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

It can be divided in two parts, 138510 and 20256, that added together give a triangular number (158766 = T₅₆₃).

The spelling of 13851020256 in words is "thirteen billion, eight hundred fifty-one million, twenty thousand, two hundred fifty-six".