1077547802500 has 135 divisors (see below), whose sum is σ = 2553183475227. Its totient is φ = 397614672000.

The previous prime is 1077547802459. The next prime is 1077547802519. The reversal of 1077547802500 is 52087457701.

The square root of 1077547802500 is 1038050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 318892866436 + 758654936064 = 564706^2 + 871008^2 .

It is a super-2 number, since 2×1077547802500² (a number of 25 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 674731702 + ... + 674733298.

Almost surely, 2^{1077547802500} is an apocalyptic number.

1077547802500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1077547802500 is the 1038050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077547802500

1077547802500 is an abundant number, since it is smaller than the sum of its proper divisors (1475635672727).

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

1077547802500 is an frugal number, since it uses more digits than its factorization.

1077547802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 46.

The spelling of 1077547802500 in words is "one trillion, seventy-seven billion, five hundred forty-seven million, eight hundred two thousand, five hundred".