1075564159488 has 960 divisors, whose sum is σ = 3989063350272. Its totient is φ = 271366225920.

The previous prime is 1075564159471. The next prime is 1075564159517. The reversal of 1075564159488 is 8849514655701.

1075564159488 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 56 + 415 + 94 + 88 = 666.

It is a super-2 number, since 2×1075564159488² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1260918870 + ... + 1260919722.

Almost surely, 2^{1075564159488} is an apocalyptic number.

1075564159488 is a gapful number since it is divisible by the number (18) 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 1075564159488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994531675136).

1075564159488 is an abundant number, since it is smaller than the sum of its proper divisors (2913499190784).

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

1075564159488 is a wasteful number, since it uses less digits than its factorization.

1075564159488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 1075564159488 in words is "one trillion, seventy-five billion, five hundred sixty-four million, one hundred fifty-nine thousand, four hundred eighty-eight".