1075260420000 has 1920 divisors, whose sum is σ = 4482653091840. Its totient is φ = 251942400000.

The previous prime is 1075260419927. The next prime is 1075260420001. The reversal of 1075260420000 is 240625701.

1075260420000 is a `hidden beast` number, since 1 + 0 + 7 + 52 + 604 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1075260420001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17627219970 + ... + 17627220030.

It is an arithmetic number, because the mean of its divisors is an integer number (2334715152).

Almost surely, 2^{1075260420000} is an apocalyptic number.

1075260420000 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 1075260420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241326545920).

1075260420000 is an abundant number, since it is smaller than the sum of its proper divisors (3407392671840).

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

1075260420000 is an frugal number, since it uses more digits than its factorization.

1075260420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1075260420000 in words is "one trillion, seventy-five billion, two hundred sixty million, four hundred twenty thousand".