1375952434560 has 512 divisors, whose sum is σ = 5322825446400. Its totient is φ = 333147340800.

The previous prime is 1375952434547. The next prime is 1375952434589. The reversal of 1375952434560 is 654342595731.

1375952434560 is a `hidden beast` number, since 1 + 3 + 7 + 59 + 5 + 24 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1375952434497 and 1375952434506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168596880 + ... + 168605040.

It is an arithmetic number, because the mean of its divisors is an integer number (10396143450).

Almost surely, 2^{1375952434560} is an apocalyptic number.

1375952434560 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 1375952434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661412723200).

1375952434560 is an abundant number, since it is smaller than the sum of its proper divisors (3946873011840).

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

1375952434560 is a wasteful number, since it uses less digits than its factorization.

1375952434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 1375952434560 in words is "one trillion, three hundred seventy-five billion, nine hundred fifty-two million, four hundred thirty-four thousand, five hundred sixty".