13855001076 has 180 divisors, whose sum is σ = 42281396388. Its totient is φ = 3944650752.

The previous prime is 13855001063. The next prime is 13855001081. The reversal of 13855001076 is 67010055831.

13855001076 is a `hidden beast` number, since 1 + 3 + 85 + 500 + 1 + 0 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6728264676 + 7126736400 = 82026^2 + 84420^2 .

It is a super-2 number, since 2×13855001076² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13855001076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5031316 + ... + 5034068.

Almost surely, 2^13855001076 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 13855001076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140698194).

13855001076 is an abundant number, since it is smaller than the sum of its proper divisors (28426395312).

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

13855001076 is a wasteful number, since it uses less digits than its factorization.

13855001076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 13855001076 in words is "thirteen billion, eight hundred fifty-five million, one thousand, seventy-six".