1076012795520 has 512 divisors, whose sum is σ = 4109082566400. Its totient is φ = 264538275840.

The previous prime is 1076012795453. The next prime is 1076012795521. The reversal of 1076012795520 is 255972106701.

1076012795520 is a `hidden beast` number, since 1 + 0 + 76 + 0 + 1 + 27 + 9 + 552 + 0 = 666.

It is a super-3 number, since 3×1076012795520³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1076012795521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218122974 + ... + 218127906.

Almost surely, 2^{1076012795520} is an apocalyptic number.

1076012795520 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 1076012795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054541283200).

1076012795520 is an abundant number, since it is smaller than the sum of its proper divisors (3033069770880).

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

1076012795520 is a wasteful number, since it uses less digits than its factorization.

1076012795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1076012795520 in words is "one trillion, seventy-six billion, twelve million, seven hundred ninety-five thousand, five hundred twenty".