13755137779240 has 1024 divisors, whose sum is σ = 41818407321600. Its totient is φ = 3986487705600.

The previous prime is 13755137779213. The next prime is 13755137779267. The reversal of 13755137779240 is 4297773155731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13755137779213) and next prime (13755137779267).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21259872597 + ... + 21259873243.

It is an arithmetic number, because the mean of its divisors is an integer number (40838288400).

Almost surely, 2^{13755137779240} is an apocalyptic number.

13755137779240 is a gapful number since it is divisible by the number (10) 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 13755137779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909203660800).

13755137779240 is an abundant number, since it is smaller than the sum of its proper divisors (28063269542360).

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

13755137779240 is a wasteful number, since it uses less digits than its factorization.

13755137779240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 61.

The spelling of 13755137779240 in words is "thirteen trillion, seven hundred fifty-five billion, one hundred thirty-seven million, seven hundred seventy-nine thousand, two hundred forty".