268100577561600 has 1980 divisors, whose sum is σ = 1159432122382776. Its totient is φ = 61035742494720.

The previous prime is 268100577561599. The next prime is 268100577561613. The reversal of 268100577561600 is 6165775001862.

It is a happy number.

268100577561600 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 0 + 0 + 5 + 77 + 561 + 6 + 0 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 26112839667 + ... + 26112849933.

Almost surely, 2^{268100577561600} is an apocalyptic number.

268100577561600 is a gapful number since it is divisible by the number (20) 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 268100577561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579716061191388).

268100577561600 is an abundant number, since it is smaller than the sum of its proper divisors (891331544821176).

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

268100577561600 is a wasteful number, since it uses less digits than its factorization.

268100577561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 268100577561600 in words is "two hundred sixty-eight trillion, one hundred billion, five hundred seventy-seven million, five hundred sixty-one thousand, six hundred".