1275550590096 has 240 divisors, whose sum is σ = 3867072580800. Its totient is φ = 402500358144.

The previous prime is 1275550590091. The next prime is 1275550590137. The reversal of 1275550590096 is 6900950555721.

1275550590096 is a `hidden beast` number, since 12 + 75 + 550 + 5 + 9 + 0 + 0 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1275550590091) 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, 297398320 + ... + 297402608.

It is an arithmetic number, because the mean of its divisors is an integer number (16112802420).

Almost surely, 2^{1275550590096} is an apocalyptic number.

1275550590096 is a gapful number since it is divisible by the number (16) 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 1275550590096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933536290400).

1275550590096 is an abundant number, since it is smaller than the sum of its proper divisors (2591521990704).

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

1275550590096 is a wasteful number, since it uses less digits than its factorization.

1275550590096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 1275550590096 in words is "one trillion, two hundred seventy-five billion, five hundred fifty million, five hundred ninety thousand, ninety-six".