1077377317500 has 480 divisors, whose sum is σ = 3500104608000. Its totient is φ = 255645440000.

The previous prime is 1077377317487. The next prime is 1077377317567. The reversal of 1077377317500 is 57137737701.

It is a self number, because there is not a number n which added to its sum of digits gives 1077377317500.

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 159 ways as a sum of consecutive naturals, for example, 1893457216 + ... + 1893457784.

It is an arithmetic number, because the mean of its divisors is an integer number (7291884600).

Almost surely, 2^{1077377317500} is an apocalyptic number.

1077377317500 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 1077377317500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750052304000).

1077377317500 is an abundant number, since it is smaller than the sum of its proper divisors (2422727290500).

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

1077377317500 is a wasteful number, since it uses less digits than its factorization.

1077377317500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 756315, while the sum is 48.

The spelling of 1077377317500 in words is "one trillion, seventy-seven billion, three hundred seventy-seven million, three hundred seventeen thousand, five hundred".