13759295550 has 864 divisors, whose sum is σ = 50289102720. Its totient is φ = 2453068800.

The previous prime is 13759295527. The next prime is 13759295551. The reversal of 13759295550 is 5559295731.

It is a junction number, because it is equal to n+sod(n) for n = 13759295493 and 13759295502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13759295551) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 259609324 + ... + 259609376.

It is an arithmetic number, because the mean of its divisors is an integer number (58204980).

Almost surely, 2^13759295550 is an apocalyptic number.

13759295550 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 13759295550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144551360).

13759295550 is an abundant number, since it is smaller than the sum of its proper divisors (36529807170).

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

13759295550 is a wasteful number, since it uses less digits than its factorization.

13759295550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2126250, while the sum is 51.

It can be divided in two parts, 137592 and 95550, that multiplied together give a square (13146915600 = 114660²).

The spelling of 13759295550 in words is "thirteen billion, seven hundred fifty-nine million, two hundred ninety-five thousand, five hundred fifty".