1075913265744 has 320 divisors, whose sum is σ = 3399839182080. Its totient is φ = 328411957248.

The previous prime is 1075913265737. The next prime is 1075913265767. The reversal of 1075913265744 is 4475623195701.

1075913265744 is a `hidden beast` number, since 1 + 0 + 7 + 59 + 13 + 2 + 6 + 574 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 21985527 + ... + 22034409.

It is an arithmetic number, because the mean of its divisors is an integer number (10624497444).

Almost surely, 2^{1075913265744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075913265744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699919591040).

1075913265744 is an abundant number, since it is smaller than the sum of its proper divisors (2323925916336).

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

1075913265744 is an equidigital number, since it uses as much as digits as its factorization.

1075913265744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48966 (or 48942 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1075913265744 in words is "one trillion, seventy-five billion, nine hundred thirteen million, two hundred sixty-five thousand, seven hundred forty-four".