26057196201600 has 768 divisors, whose sum is σ = 96451447248000. Its totient is φ = 6869422080000.

The previous prime is 26057196201599. The next prime is 26057196201623. The reversal of 26057196201600 is 610269175062.

26057196201600 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 7 + 1 + 9 + 620 + 16 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 7059655755 + ... + 7059659445.

Almost surely, 2^{26057196201600} is an apocalyptic number.

26057196201600 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 26057196201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48225723624000).

26057196201600 is an abundant number, since it is smaller than the sum of its proper divisors (70394251046400).

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

26057196201600 is a wasteful number, since it uses less digits than its factorization.

26057196201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 26057196201600 in words is "twenty-six trillion, fifty-seven billion, one hundred ninety-six million, two hundred one thousand, six hundred".