1075919477472 has 480 divisors, whose sum is σ = 3731588517888. Its totient is φ = 297740427264.

The previous prime is 1075919477441. The next prime is 1075919477509. The reversal of 1075919477472 is 2747749195701.

1075919477472 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 9 + 1 + 94 + 77 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82711993 + ... + 82724999.

Almost surely, 2^{1075919477472} is an apocalyptic number.

1075919477472 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 1075919477472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865794258944).

1075919477472 is an abundant number, since it is smaller than the sum of its proper divisors (2655669040416).

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

1075919477472 is a wasteful number, since it uses less digits than its factorization.

1075919477472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 1075919477472 in words is "one trillion, seventy-five billion, nine hundred nineteen million, four hundred seventy-seven thousand, four hundred seventy-two".