1077589122480 has 640 divisors, whose sum is σ = 4238106243840. Its totient is φ = 249309757440.

The previous prime is 1077589122451. The next prime is 1077589122509. The reversal of 1077589122480 is 842219857701.

1077589122480 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 58 + 91 + 22 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1077589122451) and next prime (1077589122509).

It is a super-2 number, since 2×1077589122480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579036750 + ... + 579038610.

It is an arithmetic number, because the mean of its divisors is an integer number (6622041006).

Almost surely, 2^{1077589122480} is an apocalyptic number.

1077589122480 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 1077589122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119053121920).

1077589122480 is an abundant number, since it is smaller than the sum of its proper divisors (3160517121360).

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

1077589122480 is a wasteful number, since it uses less digits than its factorization.

1077589122480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1077589122480 in words is "one trillion, seventy-seven billion, five hundred eighty-nine million, one hundred twenty-two thousand, four hundred eighty".