1375510408272 has 960 divisors, whose sum is σ = 5385348648960. Its totient is φ = 324632448000.

The previous prime is 1375510408271. The next prime is 1375510408351. The reversal of 1375510408272 is 2728040155731.

1375510408272 is a `hidden beast` number, since 1 + 3 + 75 + 510 + 40 + 8 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375510408271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2179889397 + ... + 2179890027.

It is an arithmetic number, because the mean of its divisors is an integer number (5609738176).

Almost surely, 2^{1375510408272} is an apocalyptic number.

1375510408272 is a gapful number since it is divisible by the number (12) 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 1375510408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692674324480).

1375510408272 is an abundant number, since it is smaller than the sum of its proper divisors (4009838240688).

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

1375510408272 is a wasteful number, since it uses less digits than its factorization.

1375510408272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1375510408272 in words is "one trillion, three hundred seventy-five billion, five hundred ten million, four hundred eight thousand, two hundred seventy-two".