1076131351680 has 768 divisors, whose sum is σ = 4363033973760. Its totient is φ = 223093678080.

The previous prime is 1076131351657. The next prime is 1076131351717. The reversal of 1076131351680 is 861531316701.

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

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 95 ways as a sum of consecutive naturals, for example, 582636517 + ... + 582638363.

It is an arithmetic number, because the mean of its divisors is an integer number (5681033820).

Almost surely, 2^{1076131351680} is an apocalyptic number.

1076131351680 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 1076131351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181516986880).

1076131351680 is an abundant number, since it is smaller than the sum of its proper divisors (3286902622080).

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

1076131351680 is a wasteful number, since it uses less digits than its factorization.

1076131351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1076131351680 in words is "one trillion, seventy-six billion, one hundred thirty-one million, three hundred fifty-one thousand, six hundred eighty".