1077338361600 has 1512 divisors, whose sum is σ = 4338249209280. Its totient is φ = 264637808640.

The previous prime is 1077338361577. The next prime is 1077338361601. The reversal of 1077338361600 is 61638337701.

It is a happy number.

1077338361600 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 3 + 3 + 8 + 36 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077338361601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22922092777 + ... + 22922092823.

It is an arithmetic number, because the mean of its divisors is an integer number (2869212440).

Almost surely, 2^{1077338361600} is an apocalyptic number.

1077338361600 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 1077338361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169124604640).

1077338361600 is an abundant number, since it is smaller than the sum of its proper divisors (3260910847680).

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

1077338361600 is an frugal number, since it uses more digits than its factorization.

1077338361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1077338361600 in words is "one trillion, seventy-seven billion, three hundred thirty-eight million, three hundred sixty-one thousand, six hundred".