1077868455300 has 576 divisors, whose sum is σ = 4489279334400. Its totient is φ = 215448076800.

The previous prime is 1077868455289. The next prime is 1077868455317. The reversal of 1077868455300 is 35548687701.

It is a happy number.

1077868455300 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 8 + 6 + 84 + 553 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4552855 + ... + 4783745.

Almost surely, 2^{1077868455300} is an apocalyptic number.

1077868455300 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 1077868455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244639667200).

1077868455300 is an abundant number, since it is smaller than the sum of its proper divisors (3411410879100).

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

1077868455300 is a wasteful number, since it uses less digits than its factorization.

1077868455300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230953 (or 230940 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1077868455300 in words is "one trillion, seventy-seven billion, eight hundred sixty-eight million, four hundred fifty-five thousand, three hundred".