5905374211638 has 64 divisors (see below), whose sum is σ = 14938496064000. Its totient is φ = 1711702666080.

The previous prime is 5905374211631. The next prime is 5905374211643. The reversal of 5905374211638 is 8361124735095.

It is a happy number.

5905374211638 is a `hidden beast` number, since 5 + 9 + 0 + 53 + 7 + 421 + 163 + 8 = 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 (5905374211631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216110413 + ... + 216137736.

It is an arithmetic number, because the mean of its divisors is an integer number (233414001000).

It is a 1-persistent number, because it is pandigital, but 2⋅5905374211638 = 11810748423276 is not.

Almost surely, 2^{5905374211638} is an apocalyptic number.

5905374211638 is an abundant number, since it is smaller than the sum of its proper divisors (9033121852362).

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

5905374211638 is a wasteful number, since it uses less digits than its factorization.

5905374211638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432248194 (or 432248188 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5905374211638 in words is "five trillion, nine hundred five billion, three hundred seventy-four million, two hundred eleven thousand, six hundred thirty-eight".