13402087776 has 216 divisors, whose sum is σ = 47877337872. Its totient is φ = 3480998400.

The previous prime is 13402087757. The next prime is 13402087801. The reversal of 13402087776 is 67778020431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216466 + ... + 271406.

It is an arithmetic number, because the mean of its divisors is an integer number (221654342).

Almost surely, 2^13402087776 is an apocalyptic number.

13402087776 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 13402087776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938668936).

13402087776 is an abundant number, since it is smaller than the sum of its proper divisors (34475250096).

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

13402087776 is a wasteful number, since it uses less digits than its factorization.

13402087776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54986 (or 54964 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13402087776 in words is "thirteen billion, four hundred two million, eighty-seven thousand, seven hundred seventy-six".