1077936652800 has 2160 divisors, whose sum is σ = 4872821690880. Its totient is φ = 226008760320.

The previous prime is 1077936652799. The next prime is 1077936652801. The reversal of 1077936652800 is 82566397701.

1077936652800 is a `hidden beast` number, since 10 + 7 + 79 + 36 + 6 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1077936652799) and next prime (1077936652801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077936652801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4510195081 + ... + 4510195319.

It is an arithmetic number, because the mean of its divisors is an integer number (2255935968).

Almost surely, 2^{1077936652800} is an apocalyptic number.

1077936652800 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 1077936652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436410845440).

1077936652800 is an abundant number, since it is smaller than the sum of its proper divisors (3794885038080).

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

1077936652800 is a wasteful number, since it uses less digits than its factorization.

1077936652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1077936652800 in words is "one trillion, seventy-seven billion, nine hundred thirty-six million, six hundred fifty-two thousand, eight hundred".