1375048048660 has 144 divisors (see below), whose sum is σ = 3419461453968. Its totient is φ = 461374341120.

The previous prime is 1375048048657. The next prime is 1375048048669. The reversal of 1375048048660 is 668408405731.

It can be written as a sum of positive squares in 8 ways, for example, as 288579542416 + 1086468506244 = 537196^2 + 1042338^2 .

It is a super-2 number, since 2×1375048048660² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1375048048598 and 1375048048607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375048048669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98683054 + ... + 98696986.

It is an arithmetic number, because the mean of its divisors is an integer number (23746260097).

Almost surely, 2^{1375048048660} is an apocalyptic number.

1375048048660 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 1375048048660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709730726984).

1375048048660 is an abundant number, since it is smaller than the sum of its proper divisors (2044413405308).

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

1375048048660 is a wasteful number, since it uses less digits than its factorization.

1375048048660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17114 (or 17101 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 1375048048660 in words is "one trillion, three hundred seventy-five billion, forty-eight million, forty-eight thousand, six hundred sixty".