18735269404950 has 1536 divisors, whose sum is σ = 64962470707200. Its totient is φ = 3878188554240.

The previous prime is 18735269404939. The next prime is 18735269404987. The reversal of 18735269404950 is 5940496253781.

18735269404950 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 52 + 6 + 94 + 0 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 53992130677 + ... + 53992131023.

It is an arithmetic number, because the mean of its divisors is an integer number (42293275200).

It is a 1-persistent number, because it is pandigital, but 2⋅18735269404950 = 37470538809900 is not.

Almost surely, 2^{18735269404950} is an apocalyptic number.

18735269404950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18735269404950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32481235353600).

18735269404950 is an abundant number, since it is smaller than the sum of its proper divisors (46227201302250).

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

18735269404950 is a wasteful number, since it uses less digits than its factorization.

18735269404950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 18735269404950 in words is "eighteen trillion, seven hundred thirty-five billion, two hundred sixty-nine million, four hundred four thousand, nine hundred fifty".