1077386901300 has 216 divisors, whose sum is σ = 3552876606552. Its totient is φ = 272719872000.

The previous prime is 1077386901257. The next prime is 1077386901359. The reversal of 1077386901300 is 31096837701.

It can be written as a sum of positive squares in 12 ways, for example, as 273229925796 + 804156975504 = 522714^2 + 896748^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 970740 + ... + 1759860.

Almost surely, 2^{1077386901300} is an apocalyptic number.

1077386901300 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 1077386901300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776438303276).

1077386901300 is an abundant number, since it is smaller than the sum of its proper divisors (2475489705252).

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

1077386901300 is a wasteful number, since it uses less digits than its factorization.

1077386901300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789219 (or 789209 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1077386901300 in words is "one trillion, seventy-seven billion, three hundred eighty-six million, nine hundred one thousand, three hundred".