1075212788760 has 640 divisors, whose sum is σ = 4181492367360. Its totient is φ = 245226009600.

The previous prime is 1075212788731. The next prime is 1075212788773. The reversal of 1075212788760 is 678872125701.

1075212788760 is a `hidden beast` number, since 10 + 7 + 521 + 27 + 8 + 87 + 6 + 0 = 666.

1075212788760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1075212788760² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1075212788697 and 1075212788706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49992169 + ... + 50013671.

It is an arithmetic number, because the mean of its divisors is an integer number (6533581824).

Almost surely, 2^{1075212788760} is an apocalyptic number.

1075212788760 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 1075212788760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090746183680).

1075212788760 is an abundant number, since it is smaller than the sum of its proper divisors (3106279578600).

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

1075212788760 is a wasteful number, since it uses less digits than its factorization.

1075212788760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21621 (or 21608 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 1075212788760 in words is "one trillion, seventy-five billion, two hundred twelve million, seven hundred eighty-eight thousand, seven hundred sixty".