13790269211904 has 360 divisors, whose sum is σ = 42387780048768. Its totient is φ = 4456873082880.

The previous prime is 13790269211903. The next prime is 13790269211933. The reversal of 13790269211904 is 40911296209731.

13790269211904 is a `hidden beast` number, since 1 + 379 + 0 + 2 + 69 + 21 + 190 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13790269211903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104215224 + ... + 104347464.

Almost surely, 2^{13790269211904} 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 13790269211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193890024384).

13790269211904 is an abundant number, since it is smaller than the sum of its proper divisors (28597510836864).

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

13790269211904 is a wasteful number, since it uses less digits than its factorization.

13790269211904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132423 (or 132400 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 13790269211904 in words is "thirteen trillion, seven hundred ninety billion, two hundred sixty-nine million, two hundred eleven thousand, nine hundred four".