1077258006720 has 504 divisors, whose sum is σ = 4497685212384. Its totient is φ = 235524022272.

The previous prime is 1077258006719. The next prime is 1077258006733. The reversal of 1077258006720 is 276008527701.

1077258006720 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 2 + 580 + 0 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3079812 + ... + 3411708.

It is an arithmetic number, because the mean of its divisors is an integer number (8923978596).

Almost surely, 2^{1077258006720} is an apocalyptic number.

1077258006720 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 1077258006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248842606192).

1077258006720 is an abundant number, since it is smaller than the sum of its proper divisors (3420427205664).

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

1077258006720 is a wasteful number, since it uses less digits than its factorization.

1077258006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331957 (or 331937 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 1077258006720 in words is "one trillion, seventy-seven billion, two hundred fifty-eight million, six thousand, seven hundred twenty".