1076347420512 has 288 divisors, whose sum is σ = 3560505228000. Its totient is φ = 283869121536.

The previous prime is 1076347420507. The next prime is 1076347420529. The reversal of 1076347420512 is 2150247436701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10282614 + ... + 10386762.

It is an arithmetic number, because the mean of its divisors is an integer number (12362865375).

Almost surely, 2^{1076347420512} is an apocalyptic number.

1076347420512 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 1076347420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780252614000).

1076347420512 is an abundant number, since it is smaller than the sum of its proper divisors (2484157807488).

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

1076347420512 is a wasteful number, since it uses less digits than its factorization.

1076347420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104215 (or 104174 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 1076347420512 in words is "one trillion, seventy-six billion, three hundred forty-seven million, four hundred twenty thousand, five hundred twelve".