1076401076560 has 80 divisors (see below), whose sum is σ = 2635819421760. Its totient is φ = 407671833600.

The previous prime is 1076401076497. The next prime is 1076401076573. The reversal of 1076401076560 is 656701046701.

1076401076560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540919 + ... + 2934121.

It is an arithmetic number, because the mean of its divisors is an integer number (32947742772).

Almost surely, 2^{1076401076560} is an apocalyptic number.

1076401076560 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 1076401076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317909710880).

1076401076560 is an abundant number, since it is smaller than the sum of its proper divisors (1559418345200).

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

1076401076560 is a wasteful number, since it uses less digits than its factorization.

1076401076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395036 (or 395030 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 1076401076560 in words is "one trillion, seventy-six billion, four hundred one million, seventy-six thousand, five hundred sixty".